131221049760 has 1056 divisors, whose sum is σ = 530332608960. Its totient is φ = 30474952704.

The previous prime is 131221049747. The next prime is 131221049797. The reversal of 131221049760 is 67940122131.

131221049760 is a `hidden beast` number, since 131 + 22 + 10 + 497 + 6 + 0 = 666.

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 polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 3051652299 + ... + 3051652341.

It is an arithmetic number, because the mean of its divisors is an integer number (502208910).

Almost surely, 2^131221049760 is an apocalyptic number.

131221049760 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 131221049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265166304480).

131221049760 is an abundant number, since it is smaller than the sum of its proper divisors (399111559200).

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

131221049760 is an equidigital number, since it uses as much as digits as its factorization.

131221049760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 131221049760 in words is "one hundred thirty-one billion, two hundred twenty-one million, forty-nine thousand, seven hundred sixty".