101331301031120 has 40 divisors (see below), whose sum is σ = 235596538705416. Its totient is φ = 40532302983168.

The previous prime is 101331301031119. The next prime is 101331301031123. The reversal of 101331301031120 is 21130103133101.

It can be written as a sum of positive squares in 4 ways, for example, as 45439409247376 + 55891891783744 = 6740876^2 + 7476088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101331301031120² (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 = 101331301031092 and 101331301031101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331301031123) 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, 12045224 + ... + 18648056.

Almost surely, 2^{101331301031120} is an apocalyptic number.

101331301031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331301031120 is an abundant number, since it is smaller than the sum of its proper divisors (134265237674296).

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

101331301031120 is a wasteful number, since it uses less digits than its factorization.

101331301031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794679 (or 6794673 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101331301031120 its reverse (21130103133101), we get a palindrome (122461404164221).

The spelling of 101331301031120 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred one million, thirty-one thousand, one hundred twenty".