13101564 has 48 divisors (see below), whose sum is σ = 36780800. Its totient is φ = 3545856.

The previous prime is 13101551. The next prime is 13101581. The reversal of 13101564 is 46510131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13101564.

It is a congruent number.

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, 2509 + ... + 5700.

Almost surely, 2^13101564 is an apocalyptic number.

13101564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13101564 is an abundant number, since it is smaller than the sum of its proper divisors (23679236).

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

13101564 is a wasteful number, since it uses less digits than its factorization.

13101564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13101564 is about 3619.6082660973. The cubic root of 13101564 is about 235.7442167947.

Adding to 13101564 its reverse (46510131), we get a palindrome (59611695).

The spelling of 13101564 in words is "thirteen million, one hundred one thousand, five hundred sixty-four".