131130112033200 has 480 divisors, whose sum is σ = 482249769610752. Its totient is φ = 29836016640000.

The previous prime is 131130112033183. The next prime is 131130112033237. The reversal of 131130112033200 is 2330211031131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10531686975 + ... + 10531699425.

Almost surely, 2^{131130112033200} is an apocalyptic number.

131130112033200 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 131130112033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241124884805376).

131130112033200 is an abundant number, since it is smaller than the sum of its proper divisors (351119657577552).

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

131130112033200 is a wasteful number, since it uses less digits than its factorization.

131130112033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18082 counting only the distinct ones).

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

Adding to 131130112033200 its reverse (2330211031131), we get a palindrome (133460323064331).

The spelling of 131130112033200 in words is "one hundred thirty-one trillion, one hundred thirty billion, one hundred twelve million, thirty-three thousand, two hundred".