10311513200 has 120 divisors (see below), whose sum is σ = 26661753360. Its totient is φ = 3818188800.

The previous prime is 10311513197. The next prime is 10311513227. The reversal of 10311513200 is 231511301.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402371 + ... + 427229.

It is an arithmetic number, because the mean of its divisors is an integer number (222181278).

Almost surely, 2^10311513200 is an apocalyptic number.

10311513200 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 10311513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330876680).

10311513200 is an abundant number, since it is smaller than the sum of its proper divisors (16350240160).

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

10311513200 is a wasteful number, since it uses less digits than its factorization.

10311513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24955 (or 24944 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The spelling of 10311513200 in words is "ten billion, three hundred eleven million, five hundred thirteen thousand, two hundred".