13131324510500 has 72 divisors (see below), whose sum is σ = 33361067932920. Its totient is φ = 4502168395200.

The previous prime is 13131324510487. The next prime is 13131324510509. The reversal of 13131324510500 is 501542313131.

It can be written as a sum of positive squares in 4 ways, for example, as 3383304069376 + 9748020441124 = 1839376^2 + 3122182^2 .

It is a super-2 number, since 2×13131324510500² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131324510509) 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, 267961715 + ... + 268010714.

It is an arithmetic number, because the mean of its divisors is an integer number (463348165735).

Almost surely, 2^{13131324510500} is an apocalyptic number.

13131324510500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131324510500 is an abundant number, since it is smaller than the sum of its proper divisors (20229743422420).

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

13131324510500 is a wasteful number, since it uses less digits than its factorization.

13131324510500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535972462 (or 535972443 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 13131324510500 its reverse (501542313131), we get a palindrome (13632866823631).

The spelling of 13131324510500 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-four million, five hundred ten thousand, five hundred".