1313311400 has 48 divisors (see below), whose sum is σ = 3158754300. Its totient is φ = 507207680.

The previous prime is 1313311399. The next prime is 1313311403. The reversal of 1313311400 is 41133131.

It can be written as a sum of positive squares in 6 ways, for example, as 855094564 + 458216836 = 29242^2 + 21406^2 .

It is not an unprimeable number, because it can be changed into a prime (1313311403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107417 + ... + 119016.

Almost surely, 2^1313311400 is an apocalyptic number.

1313311400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313311400 is an abundant number, since it is smaller than the sum of its proper divisors (1845442900).

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

1313311400 is a wasteful number, since it uses less digits than its factorization.

1313311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226478 (or 226469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1313311400 is about 36239.6385191685. The cubic root of 1313311400 is about 1095.1053601976.

Adding to 1313311400 its reverse (41133131), we get a palindrome (1354444531).

The spelling of 1313311400 in words is "one billion, three hundred thirteen million, three hundred eleven thousand, four hundred".