113727529104721 has 45 divisors (see below), whose sum is σ = 134038262938779. Its totient is φ = 96488638380288.

The previous prime is 113727529104713. The next prime is 113727529104799. The reversal of 113727529104721 is 127401925727311.

The square root of 113727529104721 is 10664311.

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

It can be written as a sum of positive squares in only one way, i.e., 107620083025 + 113619909021696 = 328055^2 + 10659264^2 .

It is not a de Polignac number, because 113727529104721 - 2³ = 113727529104713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113727529104221) 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, 53822776561 + ... + 53822778673.

Almost surely, 2^{113727529104721} is an apocalyptic number.

113727529104721 is the 10664311-st square number.

113727529104721 is the 5332156-th centered octagonal number.

It is an amenable number.

113727529104721 is a deficient number, since it is larger than the sum of its proper divisors (20310733834058).

113727529104721 is an frugal number, since it uses more digits than its factorization.

113727529104721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 52.

The spelling of 113727529104721 in words is "one hundred thirteen trillion, seven hundred twenty-seven billion, five hundred twenty-nine million, one hundred four thousand, seven hundred twenty-one".