112331311201 has 2 divisors, whose sum is σ = 112331311202. Its totient is φ = 112331311200.

The previous prime is 112331311177. The next prime is 112331311207. The reversal of 112331311201 is 102113133211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63744130576 + 48587180625 = 252476^2 + 220425^2 .

It is a cyclic number.

It is not a de Polignac number, because 112331311201 - 2¹³ = 112331303009 is a prime.

It is a super-2 number, since 2×112331311201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112331311207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56165655600 + 56165655601.

It is an arithmetic number, because the mean of its divisors is an integer number (56165655601).

Almost surely, 2^112331311201 is an apocalyptic number.

It is an amenable number.

112331311201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112331311201 is an equidigital number, since it uses as much as digits as its factorization.

112331311201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 112331311201 its reverse (102113133211), we get a palindrome (214444444412).

The spelling of 112331311201 in words is "one hundred twelve billion, three hundred thirty-one million, three hundred eleven thousand, two hundred one".