131142103340920 has 256 divisors, whose sum is σ = 354699774074880. Its totient is φ = 42665356800000.

The previous prime is 131142103340893. The next prime is 131142103340921. The reversal of 131142103340920 is 29043301241131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142103340921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406479670 + ... + 406802170.

It is an arithmetic number, because the mean of its divisors is an integer number (1385545992480).

Almost surely, 2^{131142103340920} is an apocalyptic number.

131142103340920 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 131142103340920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177349887037440).

131142103340920 is an abundant number, since it is smaller than the sum of its proper divisors (223557670733960).

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

131142103340920 is a wasteful number, since it uses less digits than its factorization.

131142103340920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323046 (or 323042 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 131142103340920 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, three hundred forty thousand, nine hundred twenty".