10311313120 has 96 divisors (see below), whose sum is σ = 24816286656. Its totient is φ = 4047667200.

The previous prime is 10311313087. The next prime is 10311313141. The reversal of 10311313120 is 2131311301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10311313094 and 10311313103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5630605 + ... + 5632435.

It is an arithmetic number, because the mean of its divisors is an integer number (258502986).

Almost surely, 2^10311313120 is an apocalyptic number.

10311313120 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 10311313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408143328).

10311313120 is an abundant number, since it is smaller than the sum of its proper divisors (14504973536).

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

10311313120 is a wasteful number, since it uses less digits than its factorization.

10311313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10311313120 its reverse (2131311301), we get a palindrome (12442624421).

The spelling of 10311313120 in words is "ten billion, three hundred eleven million, three hundred thirteen thousand, one hundred twenty".