131812962304 has 104 divisors (see below), whose sum is σ = 270356339792. Its totient is φ = 64222986240.

The previous prime is 131812962301. The next prime is 131812962319. The reversal of 131812962304 is 403269218131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131812962301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129101314 + ... + 129102334.

Almost surely, 2^131812962304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131812962304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135178169896).

131812962304 is an abundant number, since it is smaller than the sum of its proper divisors (138543377488).

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

131812962304 is an equidigital number, since it uses as much as digits as its factorization.

131812962304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

It can be divided in two parts, 131812 and 962304, that added together give a square (1094116 = 1046²).

The spelling of 131812962304 in words is "one hundred thirty-one billion, eight hundred twelve million, nine hundred sixty-two thousand, three hundred four".