10311102303120 has 120 divisors (see below), whose sum is σ = 34860522411000. Its totient is φ = 2731173378048.

The previous prime is 10311102303053. The next prime is 10311102303121. The reversal of 10311102303120 is 2130320111301.

10311102303120 is a `hidden beast` number, since 1 + 0 + 311 + 1 + 0 + 230 + 3 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107447595264 + 10203654707856 = 327792^2 + 3194316^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10311102303093 and 10311102303102.

It is not an unprimeable number, because it can be changed into a prime (10311102303121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47949685 + ... + 48164244.

It is an arithmetic number, because the mean of its divisors is an integer number (290504353425).

Almost surely, 2^{10311102303120} is an apocalyptic number.

10311102303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311102303120 is an abundant number, since it is smaller than the sum of its proper divisors (24549420107880).

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

10311102303120 is a wasteful number, since it uses less digits than its factorization.

10311102303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96114097 (or 96114088 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10311102303120 its reverse (2130320111301), we get a palindrome (12441422414421).

The spelling of 10311102303120 in words is "ten trillion, three hundred eleven billion, one hundred two million, three hundred three thousand, one hundred twenty".