131310567424 has 135 divisors (see below), whose sum is σ = 279034957677. Its totient is φ = 61782294528.

The previous prime is 131310567419. The next prime is 131310567463. The reversal of 131310567424 is 424765013131.

It is a happy number.

The square root of 131310567424 is 362368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15383937024 + 115926630400 = 124032^2 + 340480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 881278902 + ... + 881279050.

Almost surely, 2^131310567424 is an apocalyptic number.

131310567424 is the 362368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131310567424

131310567424 is an abundant number, since it is smaller than the sum of its proper divisors (147724390253).

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

131310567424 is an frugal number, since it uses more digits than its factorization.

131310567424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 131310567424 in words is "one hundred thirty-one billion, three hundred ten million, five hundred sixty-seven thousand, four hundred twenty-four".