113032211111201 has 2 divisors, whose sum is σ = 113032211111202. Its totient is φ = 113032211111200.

The previous prime is 113032211111191. The next prime is 113032211111207. The reversal of 113032211111201 is 102111112230311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90330273842176 + 22701937269025 = 9504224^2 + 4764655^2 .

It is a cyclic number.

It is not a de Polignac number, because 113032211111201 - 2³⁰ = 113031137369377 is a prime.

It is a super-2 number, since 2×113032211111201² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (113032211111207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56516105555600 + 56516105555601.

It is an arithmetic number, because the mean of its divisors is an integer number (56516105555601).

Almost surely, 2^{113032211111201} is an apocalyptic number.

It is an amenable number.

113032211111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

113032211111201 is an equidigital number, since it uses as much as digits as its factorization.

113032211111201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 113032211111201 its reverse (102111112230311), we get a palindrome (215143323341512).

The spelling of 113032211111201 in words is "one hundred thirteen trillion, thirty-two billion, two hundred eleven million, one hundred eleven thousand, two hundred one".