13131000013300 has 72 divisors (see below), whose sum is σ = 31189188567992. Its totient is φ = 4768887744000.

The previous prime is 13131000013273. The next prime is 13131000013301. The reversal of 13131000013300 is 331000013131.

It can be written as a sum of positive squares in 12 ways, for example, as 7015993107984 + 6115006905316 = 2648772^2 + 2472854^2 .

It is a super-2 number, since 2×13131000013300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131000013301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82713891 + ... + 82872490.

Almost surely, 2^{13131000013300} is an apocalyptic number.

13131000013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131000013300 is an abundant number, since it is smaller than the sum of its proper divisors (18058188554692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131000013300 is a wasteful number, since it uses less digits than its factorization.

13131000013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165586469 (or 165586462 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13131000013300 its reverse (331000013131), we get a palindrome (13462000026431).

The spelling of 13131000013300 in words is "thirteen trillion, one hundred thirty-one billion, thirteen thousand, three hundred".