113568326001 has 27 divisors (see below), whose sum is σ = 177653069217. Its totient is φ = 69880112640.

The previous prime is 113568325999. The next prime is 113568326009. The reversal of 113568326001 is 100623865311.

The square root of 113568326001 is 336999.

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

113568326001 is a `hidden beast` number, since 1 + 1 + 3 + 568 + 32 + 60 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81284861025 + 32283464976 = 285105^2 + 179676^2 .

It is not a de Polignac number, because 113568326001 - 2¹ = 113568325999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113568326009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13138641 + ... + 13147281.

Almost surely, 2^113568326001 is an apocalyptic number.

113568326001 is the 336999-th square number.

113568326001 is the 168500-th centered octagonal number.

It is an amenable number.

113568326001 is a deficient number, since it is larger than the sum of its proper divisors (64084743216).

113568326001 is an frugal number, since it uses more digits than its factorization.

113568326001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17314 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 113568326001 by its sum of digits (36), we get a square (4088459736036 = 2021994²).

It can be divided in two parts, 113568 and 326001, that added together give a square (439569 = 663²).

The spelling of 113568326001 in words is "one hundred thirteen billion, five hundred sixty-eight million, three hundred twenty-six thousand, one".