10013623120 has 20 divisors (see below), whose sum is σ = 23281673940. Its totient is φ = 4005449216.

The previous prime is 10013623111. The next prime is 10013623159. The reversal of 10013623120 is 2132631001.

It can be written as a sum of positive squares in 2 ways, for example, as 3591844624 + 6421778496 = 59932^2 + 80136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62585065 + ... + 62585224.

It is an arithmetic number, because the mean of its divisors is an integer number (1164083697).

Almost surely, 2^10013623120 is an apocalyptic number.

10013623120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013623120 is an abundant number, since it is smaller than the sum of its proper divisors (13268050820).

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

10013623120 is a wasteful number, since it uses less digits than its factorization.

10013623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125170302 (or 125170296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

It can be divided in two parts, 100136 and 23120, that added together give a triangular number (123256 = T₄₉₆).

The spelling of 10013623120 in words is "ten billion, thirteen million, six hundred twenty-three thousand, one hundred twenty".