131233302131200 has 60 divisors (see below), whose sum is σ = 325140758663490. Its totient is φ = 52493320847360.

The previous prime is 131233302131177. The next prime is 131233302131209. The reversal of 131233302131200 is 2131203332131.

It can be written as a sum of positive squares in 3 ways, for example, as 124662405613824 + 6570896517376 = 11165232^2 + 2563376^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (131233302131209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5126288065 + ... + 5126313664.

Almost surely, 2^{131233302131200} is an apocalyptic number.

131233302131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131233302131200 is an abundant number, since it is smaller than the sum of its proper divisors (193907456532290).

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

131233302131200 is an equidigital number, since it uses as much as digits as its factorization.

131233302131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252601757 (or 10252601736 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131233302131200 its reverse (2131203332131), we get a palindrome (133364505463331).

The spelling of 131233302131200 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, three hundred two million, one hundred thirty-one thousand, two hundred".