13013040 has 80 divisors (see below), whose sum is σ = 41068800. Its totient is φ = 3407616.

The previous prime is 13013027. The next prime is 13013057. The reversal of 13013040 is 4031031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 13701 + ... + 14619.

It is an arithmetic number, because the mean of its divisors is an integer number (513360).

Almost surely, 2^13013040 is an apocalyptic number.

13013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534400).

13013040 is an abundant number, since it is smaller than the sum of its proper divisors (28055760).

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

13013040 is a wasteful number, since it uses less digits than its factorization.

13013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13013040 is about 3607.3591448593. The cubic root of 13013040 is about 235.2120614852.

Adding to 13013040 its reverse (4031031), we get a palindrome (17044071).

Subtracting from 13013040 its reverse (4031031), we obtain a square (8982009 = 2997²).

The spelling of 13013040 in words is "thirteen million, thirteen thousand, forty".