131012122120 has 128 divisors (see below), whose sum is σ = 329188147200. Its totient is φ = 46517702400.

The previous prime is 131012122117. The next prime is 131012122139. The reversal of 131012122120 is 21221210131.

It is a super-2 number, since 2×131012122120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131012122094 and 131012122103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9071305 + ... + 9085735.

It is an arithmetic number, because the mean of its divisors is an integer number (2571782400).

Almost surely, 2^131012122120 is an apocalyptic number.

131012122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131012122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164594073600).

131012122120 is an abundant number, since it is smaller than the sum of its proper divisors (198176025080).

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

131012122120 is a wasteful number, since it uses less digits than its factorization.

131012122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14939 (or 14935 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131012122120 its reverse (21221210131), we get a palindrome (152233332251).

The spelling of 131012122120 in words is "one hundred thirty-one billion, twelve million, one hundred twenty-two thousand, one hundred twenty".