113064920973601 has 27 divisors (see below), whose sum is σ = 118693872582201. Its totient is φ = 107694060259104.

The previous prime is 113064920973553. The next prime is 113064920973671. The reversal of 113064920973601 is 106379029460311.

The square root of 113064920973601 is 10633199.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11445940744225 + 101618980229376 = 3383185^2 + 10080624^2 .

It is not a de Polignac number, because 113064920973601 - 2²⁹ = 113064384102689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113064920973671) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 67744109995 + ... + 67744111663.

Almost surely, 2^{113064920973601} is an apocalyptic number.

113064920973601 is the 10633199-th square number.

113064920973601 is the 5316600-th centered octagonal number.

It is an amenable number.

113064920973601 is a deficient number, since it is larger than the sum of its proper divisors (5628951608600).

113064920973601 is an frugal number, since it uses more digits than its factorization.

113064920973601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 113064920973601 in words is "one hundred thirteen trillion, sixty-four billion, nine hundred twenty million, nine hundred seventy-three thousand, six hundred one".