13131113232000 has 256 divisors, whose sum is σ = 45030667219200. Its totient is φ = 3380883968000.

The previous prime is 13131113231993. The next prime is 13131113232011. The reversal of 13131113232000 is 23231113131.

It is a happy number.

It is a super-2 number, since 2×13131113232000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3324636 + ... + 6108635.

It is an arithmetic number, because the mean of its divisors is an integer number (175901043825).

Almost surely, 2^{13131113232000} is an apocalyptic number.

13131113232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131113232000 is an abundant number, since it is smaller than the sum of its proper divisors (31899553987200).

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

13131113232000 is an equidigital number, since it uses as much as digits as its factorization.

13131113232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433332 (or 9433310 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13131113232000 its reverse (23231113131), we get a palindrome (13154344345131).

The spelling of 13131113232000 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirteen million, two hundred thirty-two thousand".