1331313200 has 60 divisors (see below), whose sum is σ = 3655413360. Its totient is φ = 456449280.

The previous prime is 1331313167. The next prime is 1331313233. The reversal of 1331313200 is 23131331.

It is an interprime number because it is at equal distance from previous prime (1331313167) and next prime (1331313233).

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, 234935 + ... + 240534.

It is an arithmetic number, because the mean of its divisors is an integer number (60923556).

Almost surely, 2^1331313200 is an apocalyptic number.

1331313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331313200 is an abundant number, since it is smaller than the sum of its proper divisors (2324100160).

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

1331313200 is a wasteful number, since it uses less digits than its factorization.

1331313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475494 (or 475483 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1331313200 is about 36487.1648665664. The cubic root of 1331313200 is about 1100.0862742250.

Adding to 1331313200 its reverse (23131331), we get a palindrome (1354444531).

The spelling of 1331313200 in words is "one billion, three hundred thirty-one million, three hundred thirteen thousand, two hundred".