131301045760 has 320 divisors, whose sum is σ = 337568394240. Its totient is φ = 48871342080.

The previous prime is 131301045749. The next prime is 131301045779. The reversal of 131301045760 is 67540103131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×131301045760² (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 31 ways as a sum of consecutive naturals, for example, 499243389 + ... + 499243651.

It is an arithmetic number, because the mean of its divisors is an integer number (1054901232).

Almost surely, 2^131301045760 is an apocalyptic number.

131301045760 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 131301045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168784197120).

131301045760 is an abundant number, since it is smaller than the sum of its proper divisors (206267348480).

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

131301045760 is a wasteful number, since it uses less digits than its factorization.

131301045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 131301045760 its reverse (67540103131), we get a palindrome (198841148891).

The spelling of 131301045760 in words is "one hundred thirty-one billion, three hundred one million, forty-five thousand, seven hundred sixty".