131121312120 has 192 divisors, whose sum is σ = 461705793120. Its totient is φ = 32143491072.

The previous prime is 131121312109. The next prime is 131121312197. The reversal of 131121312120 is 21213121131.

131121312120 is a `hidden beast` number, since 1 + 311 + 21 + 312 + 1 + 20 = 666.

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 = 131121312093 and 131121312102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14032 + ... + 512288.

Almost surely, 2^131121312120 is an apocalyptic number.

131121312120 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 131121312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230852896560).

131121312120 is an abundant number, since it is smaller than the sum of its proper divisors (330584481000).

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

131121312120 is a wasteful number, since it uses less digits than its factorization.

131121312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498334 (or 498327 counting only the distinct ones).

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

Adding to 131121312120 its reverse (21213121131), we get a palindrome (152334433251).

The spelling of 131121312120 in words is "one hundred thirty-one billion, one hundred twenty-one million, three hundred twelve thousand, one hundred twenty".