130631644900 has 81 divisors (see below), whose sum is σ = 290007407739. Its totient is φ = 51074396160.

The previous prime is 130631644841. The next prime is 130631644903. The reversal of 130631644900 is 9446136031.

The square root of 130631644900 is 361430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8092441764 + 122539203136 = 89958^2 + 350056^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130631644900.

It is not an unprimeable number, because it can be changed into a prime (130631644903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169871716 + ... + 169872484.

Almost surely, 2^130631644900 is an apocalyptic number.

130631644900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130631644900 is the 361430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130631644900

130631644900 is an abundant number, since it is smaller than the sum of its proper divisors (159375762839).

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

130631644900 is an frugal number, since it uses more digits than its factorization.

130631644900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 130631644900 in words is "one hundred thirty billion, six hundred thirty-one million, six hundred forty-four thousand, nine hundred".