10013120032 has 48 divisors (see below), whose sum is σ = 20363616000. Its totient is φ = 4841637120.

The previous prime is 10013120017. The next prime is 10013120053. The reversal of 10013120032 is 23002131001.

It is a junction number, because it is equal to n+sod(n) for n = 10013119994 and 10013120021.

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, 1930819 + ... + 1935997.

It is an arithmetic number, because the mean of its divisors is an integer number (424242000).

Almost surely, 2^10013120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181808000).

10013120032 is an abundant number, since it is smaller than the sum of its proper divisors (10350495968).

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

10013120032 is a wasteful number, since it uses less digits than its factorization.

10013120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10013120032 its reverse (23002131001), we get a palindrome (33015251033).

The spelling of 10013120032 in words is "ten billion, thirteen million, one hundred twenty thousand, thirty-two".