10013312120 has 128 divisors (see below), whose sum is σ = 27300758400. Its totient is φ = 3226730496.

The previous prime is 10013312119. The next prime is 10013312129. The reversal of 10013312120 is 2121331001.

It is a super-2 number, since 2×10013312120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10013312095 and 10013312104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013312129) 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, 6706094 + ... + 6707586.

It is an arithmetic number, because the mean of its divisors is an integer number (213287175).

Almost surely, 2^10013312120 is an apocalyptic number.

10013312120 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 10013312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650379200).

10013312120 is an abundant number, since it is smaller than the sum of its proper divisors (17287446280).

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

10013312120 is a wasteful number, since it uses less digits than its factorization.

10013312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10013312120 its reverse (2121331001), we get a palindrome (12134643121).

The spelling of 10013312120 in words is "ten billion, thirteen million, three hundred twelve thousand, one hundred twenty".