102131133120 has 224 divisors, whose sum is σ = 362686640640. Its totient is φ = 27054259200.

The previous prime is 102131133103. The next prime is 102131133179. The reversal of 102131133120 is 21331131201.

102131133120 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 311 + 331 + 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 = 102131133093 and 102131133102.

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, 1265499 + ... + 1343781.

Almost surely, 2^102131133120 is an apocalyptic number.

102131133120 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 102131133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181343320320).

102131133120 is an abundant number, since it is smaller than the sum of its proper divisors (260555507520).

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

102131133120 is a wasteful number, since it uses less digits than its factorization.

102131133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78460 (or 78444 counting only the distinct ones).

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

Adding to 102131133120 its reverse (21331131201), we get a palindrome (123462264321).

The spelling of 102131133120 in words is "one hundred two billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty".