10311120000 has 240 divisors, whose sum is σ = 37079872830. Its totient is φ = 2749440000.

The previous prime is 10311119993. The next prime is 10311120011. The reversal of 10311120000 is 2111301.

It can be written as a sum of positive squares in 5 ways, for example, as 538611264 + 9772508736 = 23208^2 + 98856^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 712840 + ... + 727160.

Almost surely, 2^10311120000 is an apocalyptic number.

10311120000 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 10311120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539936415).

10311120000 is an abundant number, since it is smaller than the sum of its proper divisors (26768752830).

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

10311120000 is an equidigital number, since it uses as much as digits as its factorization.

10311120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14361 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10311120000 its reverse (2111301), we get a palindrome (10313231301).

The spelling of 10311120000 in words is "ten billion, three hundred eleven million, one hundred twenty thousand".