131319826800960 has 448 divisors, whose sum is σ = 483139069507584. Its totient is φ = 29600332800000.

The previous prime is 131319826800959. The next prime is 131319826800961. The reversal of 131319826800960 is 69008628913131.

It is an interprime number because it is at equal distance from previous prime (131319826800959) and next prime (131319826800961).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×131319826800960² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131319826800960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131319826800961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169973299 + ... + 170744141.

It is an arithmetic number, because the mean of its divisors is an integer number (1078435423008).

Almost surely, 2^{131319826800960} is an apocalyptic number.

131319826800960 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 131319826800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241569534753792).

131319826800960 is an abundant number, since it is smaller than the sum of its proper divisors (351819242706624).

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

131319826800960 is a wasteful number, since it uses less digits than its factorization.

131319826800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771222 (or 771212 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 131319826800960 in words is "one hundred thirty-one trillion, three hundred nineteen billion, eight hundred twenty-six million, eight hundred thousand, nine hundred sixty".