131941336320 has 576 divisors, whose sum is σ = 492789104640. Its totient is φ = 33364058112.

The previous prime is 131941336301. The next prime is 131941336339. The reversal of 131941336320 is 23633149131.

It is a happy number.

131941336320 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 4 + 13 + 3 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131941336301) and next prime (131941336339).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×131941336320² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100949107 + ... + 100950413.

It is an arithmetic number, because the mean of its divisors is an integer number (855536640).

Almost surely, 2^131941336320 is an apocalyptic number.

131941336320 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 131941336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246394552320).

131941336320 is an abundant number, since it is smaller than the sum of its proper divisors (360847768320).

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

131941336320 is a wasteful number, since it uses less digits than its factorization.

131941336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 131941336320 in words is "one hundred thirty-one billion, nine hundred forty-one million, three hundred thirty-six thousand, three hundred twenty".