1313013120 has 64 divisors (see below), whose sum is σ = 4185235440. Its totient is φ = 350136320.

The previous prime is 1313013047. The next prime is 1313013209. The reversal of 1313013120 is 213103131.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1313013120.

It is a congruent number.

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, 340011 + ... + 343850.

Almost surely, 2^1313013120 is an apocalyptic number.

1313013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313013120 is an abundant number, since it is smaller than the sum of its proper divisors (2872222320).

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

1313013120 is an equidigital number, since it uses as much as digits as its factorization.

1313013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683883 (or 683871 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1313013120 is about 36235.5229022571. The cubic root of 1313013120 is about 1095.0224469450.

Adding to 1313013120 its reverse (213103131), we get a palindrome (1526116251).

It can be divided in two parts, 131301 and 3120, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 1313013120 in words is "one billion, three hundred thirteen million, thirteen thousand, one hundred twenty".