131111302002120 has 192 divisors, whose sum is σ = 477412653032640. Its totient is φ = 30925515916800.

The previous prime is 131111302002101. The next prime is 131111302002137. The reversal of 131111302002120 is 21200203111131.

131111302002120 is a `hidden beast` number, since 1 + 311 + 1 + 1 + 30 + 200 + 2 + 120 = 666.

It is a super-2 number, since 2×131111302002120² (a number of 29 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 = 131111302002093 and 131111302002102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447271246 + ... + 447564285.

It is an arithmetic number, because the mean of its divisors is an integer number (2486524234545).

Almost surely, 2^{131111302002120} is an apocalyptic number.

131111302002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131111302002120 is an abundant number, since it is smaller than the sum of its proper divisors (346301351030520).

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

131111302002120 is a wasteful number, since it uses less digits than its factorization.

131111302002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894835596 (or 894835589 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131111302002120 its reverse (21200203111131), we get a palindrome (152311505113251).

The spelling of 131111302002120 in words is "one hundred thirty-one trillion, one hundred eleven billion, three hundred two million, two thousand, one hundred twenty".