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1021310030013 = 37213172512499
BaseRepresentation
bin11101101110010101101…
…00100101000010111101
310121122011212000010001220
432313022310211002331
5113213120331430023
62101103334223553
7133534005006300
oct16671264450275
93548155003056
101021310030013
11364153982949
12145b2a7b4bb9
13754031b0860
1437608700b37
151b8775043e3
hexedcad250bd

1021310030013 has 144 divisors (see below), whose sum is σ = 1817132184000. Its totient is φ = 503991936000.

The previous prime is 1021310029991. The next prime is 1021310030093. The reversal of 1021310030013 is 3100300131201.

It is not a de Polignac number, because 1021310030013 - 213 = 1021310021821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021310029974 and 1021310030001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021310030093) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2046713238 + ... + 2046713736.

It is an arithmetic number, because the mean of its divisors is an integer number (12618973500).

Almost surely, 21021310030013 is an apocalyptic number.

1021310030013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1021310030013 is a deficient number, since it is larger than the sum of its proper divisors (795822153987).

1021310030013 is a wasteful number, since it uses less digits than its factorization.

1021310030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1021310030013 its reverse (3100300131201), we get a palindrome (4121610161214).

The spelling of 1021310030013 in words is "one trillion, twenty-one billion, three hundred ten million, thirty thousand, thirteen".

Divisors: 1 3 7 13 17 21 39 49 51 91 119 147 221 251 273 357 499 637 663 753 833 1497 1547 1757 1911 2499 3263 3493 4267 4641 5271 6487 8483 9789 10479 10829 12299 12801 19461 22841 24451 25449 29869 32487 36897 45409 55471 59381 63001 68523 73353 89607 110279 125249 136227 159887 166413 178143 189003 209083 317863 330837 375747 388297 415667 441007 479661 627249 771953 819013 876743 953589 1071017 1164891 1247001 1323021 1628237 2129233 2315859 2457039 2630229 2718079 3087049 3213051 4884711 5403671 5733091 6137201 6387699 7497119 8154237 9261147 11397659 13923221 14904631 16211013 17199273 18411603 22491357 27680029 31437499 34192977 40131637 41769663 44713893 52479833 79783613 83040087 94312497 97462547 104332417 120394911 157439499 193760203 220062493 239350839 292387641 312997251 408687487 534437483 581280609 660187479 682237829 1226062461 1356321421 1540437451 1603312449 2046713487 2860812409 3741062381 4068964263 4621312353 6947687279 8582437227 11223187143 20025686863 20843061837 26187436667 48633810953 60077060589 78562310001 145901432859 340436676671 1021310030013