3101032113120 has 144 divisors (see below), whose sum is σ = 11139233873040. Its totient is φ = 783418632192.

The previous prime is 3101032113097. The next prime is 3101032113131. The reversal of 3101032113120 is 213112301013.

3101032113120 is a `hidden beast` number, since 31 + 0 + 1 + 0 + 321 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3101032113120² (a number of 26 digits) contains 22 as substring.

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 = 3101032113093 and 3101032113102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56643549 + ... + 56698268.

It is an arithmetic number, because the mean of its divisors is an integer number (77355790785).

Almost surely, 2^{3101032113120} is an apocalyptic number.

3101032113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3101032113120 is an abundant number, since it is smaller than the sum of its proper divisors (8038201759920).

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

3101032113120 is a wasteful number, since it uses less digits than its factorization.

3101032113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113341857 (or 113341846 counting only the distinct ones).

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

Adding to 3101032113120 its reverse (213112301013), we get a palindrome (3314144414133).

The spelling of 3101032113120 in words is "three trillion, one hundred one billion, thirty-two million, one hundred thirteen thousand, one hundred twenty".