101331110120320 has 64 divisors (see below), whose sum is σ = 242296465039200. Its totient is φ = 40523780220928.

The previous prime is 101331110120311. The next prime is 101331110120329. The reversal of 101331110120320 is 23021011133101.

It is an interprime number because it is at equal distance from previous prime (101331110120311) and next prime (101331110120329).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×101331110120320³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331110120329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13924639 + ... + 19913758.

Almost surely, 2^{101331110120320} is an apocalyptic number.

101331110120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331110120320 is an abundant number, since it is smaller than the sum of its proper divisors (140965354918880).

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

101331110120320 is an equidigital number, since it uses as much as digits as its factorization.

101331110120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33843095 (or 33843083 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101331110120320 its reverse (23021011133101), we get a palindrome (124352121253421).

The spelling of 101331110120320 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred ten million, one hundred twenty thousand, three hundred twenty".