10311132120 has 128 divisors (see below), whose sum is σ = 32038675200. Its totient is φ = 2651618816.

The previous prime is 10311132119. The next prime is 10311132131. The reversal of 10311132120 is 2123111301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10311132120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4547227 + ... + 4549493.

It is an arithmetic number, because the mean of its divisors is an integer number (250302150).

Almost surely, 2^10311132120 is an apocalyptic number.

10311132120 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 10311132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019337600).

10311132120 is an abundant number, since it is smaller than the sum of its proper divisors (21727543080).

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

10311132120 is a wasteful number, since it uses less digits than its factorization.

10311132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10311132120 its reverse (2123111301), we get a palindrome (12434243421).

The spelling of 10311132120 in words is "ten billion, three hundred eleven million, one hundred thirty-two thousand, one hundred twenty".