10013020320 has 48 divisors (see below), whose sum is σ = 31541015520. Its totient is φ = 2670138624.

The previous prime is 10013020309. The next prime is 10013020337. The reversal of 10013020320 is 2302031001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 10013020296 and 10013020305.

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, 10429750 + ... + 10430709.

It is an arithmetic number, because the mean of its divisors is an integer number (657104490).

Almost surely, 2^10013020320 is an apocalyptic number.

10013020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013020320 is an abundant number, since it is smaller than the sum of its proper divisors (21527995200).

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

10013020320 is a wasteful number, since it uses less digits than its factorization.

10013020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20860477 (or 20860469 counting only the distinct ones).

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

Adding to 10013020320 its reverse (2302031001), we get a palindrome (12315051321).

The spelling of 10013020320 in words is "ten billion, thirteen million, twenty thousand, three hundred twenty".