131512113200 has 120 divisors (see below), whose sum is σ = 340489957248. Its totient is φ = 48525834240.

The previous prime is 131512113179. The next prime is 131512113217. The reversal of 131512113200 is 2311215131.

It is a super-2 number, since 2×131512113200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8608769 + ... + 8624031.

Almost surely, 2^131512113200 is an apocalyptic number.

131512113200 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 131512113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170244978624).

131512113200 is an abundant number, since it is smaller than the sum of its proper divisors (208977844048).

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

131512113200 is a wasteful number, since it uses less digits than its factorization.

131512113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16951 (or 16940 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 131512113200 its reverse (2311215131), we get a palindrome (133823328331).

The spelling of 131512113200 in words is "one hundred thirty-one billion, five hundred twelve million, one hundred thirteen thousand, two hundred".