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1013301331133 = 713194137393823
BaseRepresentation
bin11101011111011010111…
…01110100010010111101
310120212111201020001112212
432233231131310102331
5113100220120044013
62053300524110205
7133131360126050
oct16575535642275
93525451201485
101013301331133
11360814203943
12144474695365
1374727c13190
1437088c10a97
151b55938b6a8
hexebed7744bd

1013301331133 has 64 divisors (see below), whose sum is σ = 1345509580800. Its totient is φ = 740619210240.

The previous prime is 1013301331117. The next prime is 1013301331139. The reversal of 1013301331133 is 3311331033101.

It is not a de Polignac number, because 1013301331133 - 24 = 1013301331117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013301331099 and 1013301331108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013301331139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265052060 + ... + 265055882.

It is an arithmetic number, because the mean of its divisors is an integer number (21023587200).

Almost surely, 21013301331133 is an apocalyptic number.

1013301331133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013301331133 is a deficient number, since it is larger than the sum of its proper divisors (332208249667).

1013301331133 is a wasteful number, since it uses less digits than its factorization.

1013301331133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 1013301331133 its reverse (3311331033101), we get a palindrome (4324632364234).

The spelling of 1013301331133 in words is "one trillion, thirteen billion, three hundred one million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 13 19 41 91 133 247 287 533 779 1729 3731 3739 3823 5453 10127 26173 26761 48607 49699 70889 71041 72637 153299 156743 340249 347893 497287 508459 923533 944281 1073093 1097201 1992887 2037659 2912681 2978117 6464731 6609967 13950209 14263613 14294197 20388767 20846819 37864853 38715521 100059379 185824561 265053971 271008647 271589743 586062077 1300771927 1901128201 3530666659 4102434539 7618807001 11135179463 24714666613 53331649007 77946256241 144757333019 1013301331133