122113011331 has 2 divisors, whose sum is σ = 122113011332. Its totient is φ = 122113011330.

The previous prime is 122113011263. The next prime is 122113011341. The reversal of 122113011331 is 133110311221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122113011331 - 2⁷ = 122113011203 is a prime.

It is a super-3 number, since 3×122113011331³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122113011299 and 122113011308.

It is not a weakly prime, because it can be changed into another prime (122113011341) 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 as a sum of consecutive naturals, namely, 61056505665 + 61056505666.

It is an arithmetic number, because the mean of its divisors is an integer number (61056505666).

Almost surely, 2^122113011331 is an apocalyptic number.

122113011331 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113011331 is an equidigital number, since it uses as much as digits as its factorization.

122113011331 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 122113011331 its reverse (133110311221), we get a palindrome (255223322552).

The spelling of 122113011331 in words is "one hundred twenty-two billion, one hundred thirteen million, eleven thousand, three hundred thirty-one".