101311023113120 has 48 divisors (see below), whose sum is σ = 239384921815368. Its totient is φ = 40518038077440.

The previous prime is 101311023113029. The next prime is 101311023113191. The reversal of 101311023113120 is 21311320113101.

It can be written as a sum of positive squares in 4 ways, for example, as 94170177873424 + 7140845239696 = 9704132^2 + 2672236^2 .

It is a super-2 number, since 2×101311023113120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101311023113092 and 101311023113101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48753809 + ... + 50789328.

Almost surely, 2^{101311023113120} is an apocalyptic number.

101311023113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311023113120 is an abundant number, since it is smaller than the sum of its proper divisors (138073898702248).

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

101311023113120 is an equidigital number, since it uses as much as digits as its factorization.

101311023113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99549513 (or 99549505 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101311023113120 its reverse (21311320113101), we get a palindrome (122622343226221).

The spelling of 101311023113120 in words is "one hundred one trillion, three hundred eleven billion, twenty-three million, one hundred thirteen thousand, one hundred twenty".