131269165056 has 480 divisors, whose sum is σ = 416929606830. Its totient is φ = 41150840832.

The previous prime is 131269165043. The next prime is 131269165067. The reversal of 131269165056 is 650561962131.

131269165056 is a `hidden beast` number, since 1 + 3 + 126 + 9 + 16 + 505 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107794022400 + 23475142656 = 328320^2 + 153216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 958169020 + ... + 958169156.

Almost surely, 2^131269165056 is an apocalyptic number.

131269165056 is a gapful number since it is divisible by the number (16) 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 131269165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208464803415).

131269165056 is an abundant number, since it is smaller than the sum of its proper divisors (285660441774).

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

131269165056 is an frugal number, since it uses more digits than its factorization.

131269165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 131269165056 in words is "one hundred thirty-one billion, two hundred sixty-nine million, one hundred sixty-five thousand, fifty-six".