131113322000 has 160 divisors (see below), whose sum is σ = 327857587200. Its totient is φ = 50660736000.

The previous prime is 131113321987. The next prime is 131113322017. The reversal of 131113322000 is 223311131.

It is a self number, because there is not a number n which added to its sum of digits gives 131113322000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40856396 + ... + 40859604.

It is an arithmetic number, because the mean of its divisors is an integer number (2049109920).

Almost surely, 2^131113322000 is an apocalyptic number.

131113322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131113322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163928793600).

131113322000 is an abundant number, since it is smaller than the sum of its proper divisors (196744265200).

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

131113322000 is a wasteful number, since it uses less digits than its factorization.

131113322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131113322000 its reverse (223311131), we get a palindrome (131336633131).

The spelling of 131113322000 in words is "one hundred thirty-one billion, one hundred thirteen million, three hundred twenty-two thousand".