10311001120 has 96 divisors (see below), whose sum is σ = 28115652096. Its totient is φ = 3500160000.

The previous prime is 10311001091. The next prime is 10311001133. The reversal of 10311001120 is 2110011301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10311001097 and 10311001106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67545 + ... + 158695.

It is an arithmetic number, because the mean of its divisors is an integer number (292871376).

Almost surely, 2^10311001120 is an apocalyptic number.

10311001120 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 10311001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057826048).

10311001120 is an abundant number, since it is smaller than the sum of its proper divisors (17804650976).

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

10311001120 is a wasteful number, since it uses less digits than its factorization.

10311001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91274 (or 91266 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10311001120 its reverse (2110011301), we get a palindrome (12421012421).

The spelling of 10311001120 in words is "ten billion, three hundred eleven million, one thousand, one hundred twenty".