131382007680 has 1024 divisors, whose sum is σ = 545970585600. Its totient is φ = 26077593600.

The previous prime is 131382007643. The next prime is 131382007693. The reversal of 131382007680 is 86700283131.

It is a super-2 number, since 2×131382007680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 499551229 + ... + 499551491.

It is an arithmetic number, because the mean of its divisors is an integer number (533174400).

Almost surely, 2^131382007680 is an apocalyptic number.

131382007680 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 131382007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272985292800).

131382007680 is an abundant number, since it is smaller than the sum of its proper divisors (414588577920).

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

131382007680 is a wasteful number, since it uses less digits than its factorization.

131382007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 131382007680 in words is "one hundred thirty-one billion, three hundred eighty-two million, seven thousand, six hundred eighty".