131333525287056 has 405 divisors, whose sum is σ = 385807887548811. Its totient is φ = 41705170970112.

The previous prime is 131333525287037. The next prime is 131333525287117. The reversal of 131333525287056 is 650782525333131.

The square root of 131333525287056 is 11460084.

It is a perfect power (a square), and thus also a powerful number.

131333525287056 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 352 + 5 + 287 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52427968192656 + 78905557094400 = 7240716^2 + 8882880^2 .

It is a super-2 number, since 2×131333525287056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131333525286993 and 131333525287011.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 269678696445 + ... + 269678696931.

Almost surely, 2^{131333525287056} is an apocalyptic number.

131333525287056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131333525287056 is the 11460084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131333525287056

131333525287056 is an abundant number, since it is smaller than the sum of its proper divisors (254474362261755).

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

131333525287056 is an frugal number, since it uses more digits than its factorization.

131333525287056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 131333525287056 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, five hundred twenty-five million, two hundred eighty-seven thousand, fifty-six".