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13131100213 = 74112412063
BaseRepresentation
bin11000011101010110…
…01011000000110101
31020220010111000010221
430032223023000311
5203343030201323
610010553014341
7643254340000
oct141653130065
936803430127
1013131100213
115629188a40
1226656b43b1
1313135b41aa
148c7d34537
1551cbeb55d
hex30eacb035

13131100213 has 40 divisors (see below), whose sum is σ = 16788790656. Its totient is φ = 10184630400.

The previous prime is 13131100159. The next prime is 13131100219. The reversal of 13131100213 is 31200113131.

It is not a de Polignac number, because 13131100213 - 213 = 13131092021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131100219) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6364020 + ... + 6366082.

Almost surely, 213131100213 is an apocalyptic number.

It is an amenable number.

13131100213 is a deficient number, since it is larger than the sum of its proper divisors (3657690443).

13131100213 is an equidigital number, since it uses as much as digits as its factorization.

13131100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13131100213 its reverse (31200113131), we get a palindrome (44331213344).

The spelling of 13131100213 in words is "thirteen billion, one hundred thirty-one million, one hundred thousand, two hundred thirteen".

Divisors: 1 7 11 49 77 241 343 539 1687 2063 2401 2651 3773 11809 14441 18557 22693 26411 82663 101087 129899 158851 497183 578641 707609 909293 1111957 3480281 4953263 5469013 6365051 7783699 24361967 38283091 54485893 170533769 267981637 1193736383 1875871459 13131100213