122133111331 has 16 divisors (see below), whose sum is σ = 155142874368. Its totient is φ = 93373020000.

The previous prime is 122133111311. The next prime is 122133111343. The reversal of 122133111331 is 133111331221.

It is a cyclic number.

It is not a de Polignac number, because 122133111331 - 2⁵ = 122133111299 is a prime.

It is a super-3 number, since 3×122133111331³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122133111301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14959545 + ... + 14967706.

It is an arithmetic number, because the mean of its divisors is an integer number (9696429648).

Almost surely, 2^122133111331 is an apocalyptic number.

122133111331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122133111331 is a deficient number, since it is larger than the sum of its proper divisors (33009763037).

122133111331 is a wasteful number, since it uses less digits than its factorization.

122133111331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29927322.

The product of its digits is 324, while the sum is 22.

Adding to 122133111331 its reverse (133111331221), we get a palindrome (255244442552).

The spelling of 122133111331 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred eleven thousand, three hundred thirty-one".