131633079137316 has 135 divisors (see below), whose sum is σ = 345960791941611. Its totient is φ = 43643572028496.

The previous prime is 131633079137311. The next prime is 131633079137317. The reversal of 131633079137316 is 613731970336131.

The square root of 131633079137316 is 11473146.

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

131633079137316 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 3 + 307 + 9 + 13 + 7 + 316 = 666.

It is a super-3 number, since 3×131633079137316³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (131633079137311) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41096807371 + ... + 41096810573.

Almost surely, 2^{131633079137316} is an apocalyptic number.

131633079137316 is the 11473146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131633079137316

131633079137316 is an abundant number, since it is smaller than the sum of its proper divisors (214327712804295).

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

131633079137316 is an frugal number, since it uses more digits than its factorization.

131633079137316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 54.

The spelling of 131633079137316 in words is "one hundred thirty-one trillion, six hundred thirty-three billion, seventy-nine million, one hundred thirty-seven thousand, three hundred sixteen".