1331313000 has 64 divisors (see below), whose sum is σ = 4153705920. Its totient is φ = 355016000.

The previous prime is 1331312953. The next prime is 1331313013. The reversal of 1331313000 is 3131331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218886 + ... + 224885.

It is an arithmetic number, because the mean of its divisors is an integer number (64901655).

Almost surely, 2^1331313000 is an apocalyptic number.

1331313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331313000 is an abundant number, since it is smaller than the sum of its proper divisors (2822392920).

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

1331313000 is a wasteful number, since it uses less digits than its factorization.

1331313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443795 (or 443781 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1331313000 is about 36487.1621258765. The cubic root of 1331313000 is about 1100.0862191372.

Adding to 1331313000 its reverse (3131331), we get a palindrome (1334444331).

The spelling of 1331313000 in words is "one billion, three hundred thirty-one million, three hundred thirteen thousand".