13313000 has 32 divisors (see below), whose sum is σ = 31154760. Its totient is φ = 5324800.

The previous prime is 13312993. The next prime is 13313011. The reversal of 13313000 is 31331.

13313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3034564 + 10278436 = 1742^2 + 3206^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5657 + ... + 7656.

Almost surely, 2^13313000 is an apocalyptic number.

13313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313000 is an abundant number, since it is smaller than the sum of its proper divisors (17841760).

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

13313000 is a wasteful number, since it uses less digits than its factorization.

13313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13334 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 13313000 is about 3648.6983980592. The cubic root of 13313000 is about 237.0056198113.

Adding to 13313000 its reverse (31331), we get a palindrome (13344331).

The spelling of 13313000 in words is "thirteen million, three hundred thirteen thousand".