1313312900 has 36 divisors (see below), whose sum is σ = 3017533428. Its totient is φ = 494423040.

The previous prime is 1313312893. The next prime is 1313312929. The reversal of 1313312900 is 92133131.

It can be written as a sum of positive squares in 6 ways, for example, as 183277444 + 1130035456 = 13538^2 + 33616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384569 + ... + 387968.

It is an arithmetic number, because the mean of its divisors is an integer number (83820373).

Almost surely, 2^1313312900 is an apocalyptic number.

1313312900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313312900 is an abundant number, since it is smaller than the sum of its proper divisors (1704220528).

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

1313312900 is a wasteful number, since it uses less digits than its factorization.

1313312900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772568 (or 772561 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 1313312900 is about 36239.6592147332. The cubic root of 1313312900 is about 1095.1057771227.

The spelling of 1313312900 in words is "one billion, three hundred thirteen million, three hundred twelve thousand, nine hundred".