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1313130002331 = 372323715121157
BaseRepresentation
bin10011000110111100101…
…001011011011110011011
311122112102021202200100210
4103012330221123132123
5133003242240033311
62443124341102203
7163604404566510
oct23067451333633
94575367680323
101313130002331
11466993720294
121925b06b7963
1396a9b3b59a4
14477ad2b5307
15242569a63a6
hex131bca5b79b

1313130002331 has 96 divisors (see below), whose sum is σ = 2162603527168. Its totient is φ = 693679852800.

The previous prime is 1313130002329. The next prime is 1313130002347. The reversal of 1313130002331 is 1332000313131.

It is not a de Polignac number, because 1313130002331 - 21 = 1313130002329 is a prime.

It is a super-2 number, since 2×13131300023312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1313130002298 and 1313130002307.

It is not an unprimeable number, because it can be changed into a prime (1313130002531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62055405 + ... + 62076561.

Almost surely, 21313130002331 is an apocalyptic number.

1313130002331 is a deficient number, since it is larger than the sum of its proper divisors (849473524837).

1313130002331 is a wasteful number, since it uses less digits than its factorization.

1313130002331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21401 (or 21378 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1313130002331 its reverse (1332000313131), we get a palindrome (2645130315462).

The spelling of 1313130002331 in words is "one trillion, three hundred thirteen billion, one hundred thirty million, two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 23 37 69 111 151 161 259 453 483 529 777 851 1057 1587 2553 3171 3473 3703 5587 5957 10419 11109 16761 17871 19573 21157 24311 39109 58719 63471 72933 79879 117327 128501 137011 148099 239637 385503 411033 444297 486611 559153 782809 899507 1459833 1677459 2348427 2698521 2955523 3194707 3406277 5479663 8866569 9584121 10218831 11192053 16438989 18004607 20688661 22362949 33576159 54013821 62065983 67088847 73478261 78344371 118204159 126032249 220434783 235033113 354612477 378096747 414105961 514347827 827429113 1242317883 1543043481 1690000003 2482287339 2718695657 2898741727 5070000009 8156086971 8696225181 11830000021 19030869599 35490000063 57092608797 62530000111 187590000333 437710000777 1313130002331