113312021122337 has 2 divisors, whose sum is σ = 113312021122338. Its totient is φ = 113312021122336.

The previous prime is 113312021122319. The next prime is 113312021122343. The reversal of 113312021122337 is 733221120213311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86327902620961 + 26984118501376 = 9291281^2 + 5194624^2 .

It is a cyclic number.

It is not a de Polignac number, because 113312021122337 - 2¹⁸ = 113312020860193 is a prime.

It is a super-2 number, since 2×113312021122337² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113312021122367) 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, 56656010561168 + 56656010561169.

It is an arithmetic number, because the mean of its divisors is an integer number (56656010561169).

Almost surely, 2^{113312021122337} is an apocalyptic number.

It is an amenable number.

113312021122337 is a deficient number, since it is larger than the sum of its proper divisors (1).

113312021122337 is an equidigital number, since it uses as much as digits as its factorization.

113312021122337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 113312021122337 its reverse (733221120213311), we get a palindrome (846533141335648).

The spelling of 113312021122337 in words is "one hundred thirteen trillion, three hundred twelve billion, twenty-one million, one hundred twenty-two thousand, three hundred thirty-seven".