10013032120 has 128 divisors (see below), whose sum is σ = 27983894400. Its totient is φ = 3139762176.

The previous prime is 10013032021. The next prime is 10013032123. The reversal of 10013032120 is 2123031001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10013032120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013032123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384142 + ... + 409378.

It is an arithmetic number, because the mean of its divisors is an integer number (218624175).

Almost surely, 2^10013032120 is an apocalyptic number.

10013032120 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 10013032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991947200).

10013032120 is an abundant number, since it is smaller than the sum of its proper divisors (17970862280).

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

10013032120 is a wasteful number, since it uses less digits than its factorization.

10013032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25377 (or 25373 counting only the distinct ones).

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

Adding to 10013032120 its reverse (2123031001), we get a palindrome (12136063121).

The spelling of 10013032120 in words is "ten billion, thirteen million, thirty-two thousand, one hundred twenty".