113013577 has 12 divisors (see below), whose sum is σ = 122512836. Its totient is φ = 104159520.

The previous prime is 113013553. The next prime is 113013587. The reversal of 113013577 is 775310311.

It can be written as a sum of positive squares in 2 ways, for example, as 97990201 + 15023376 = 9899^2 + 3876^2 .

It is not a de Polignac number, because 113013577 - 2⁷ = 113013449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113013587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9127 + ... + 17587.

It is an arithmetic number, because the mean of its divisors is an integer number (10209403).

Almost surely, 2^113013577 is an apocalyptic number.

It is an amenable number.

113013577 is a deficient number, since it is larger than the sum of its proper divisors (9499259).

113013577 is an equidigital number, since it uses as much as digits as its factorization.

113013577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 113013577 is about 10630.7844019150. The cubic root of 113013577 is about 483.4781745325.

Adding to 113013577 its reverse (775310311), we get a palindrome (888323888).

It can be divided in two parts, 11301 and 3577, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 113013577 in words is "one hundred thirteen million, thirteen thousand, five hundred seventy-seven".