131331452135120 has 160 divisors (see below), whose sum is σ = 335250129359520. Its totient is φ = 47624120893440.

The previous prime is 131331452135119. The next prime is 131331452135129. The reversal of 131331452135120 is 21531254133131.

It can be written as a sum of positive squares in 16 ways, for example, as 13399758082624 + 117931694052496 = 3660568^2 + 10859636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331452135129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12649484 + ... + 20558996.

It is an arithmetic number, because the mean of its divisors is an integer number (2095313308497).

Almost surely, 2^{131331452135120} is an apocalyptic number.

131331452135120 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 131331452135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167625064679760).

131331452135120 is an abundant number, since it is smaller than the sum of its proper divisors (203918677224400).

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

131331452135120 is a wasteful number, since it uses less digits than its factorization.

131331452135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7909993 (or 7909987 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 131331452135120 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, four hundred fifty-two million, one hundred thirty-five thousand, one hundred twenty".