122133100111331 has 8 divisors (see below), whose sum is σ = 122336982456864. Its totient is φ = 121929219979200.

The previous prime is 122133100111301. The next prime is 122133100111349. The reversal of 122133100111331 is 133111001331221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122133100111331 - 2³⁸ = 121858222204387 is a prime.

It is a super-2 number, since 2×122133100111331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122133100111297 and 122133100111306.

It is not an unprimeable number, because it can be changed into a prime (122133100111301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139393745 + ... + 140267181.

It is an arithmetic number, because the mean of its divisors is an integer number (15292122807108).

Almost surely, 2^{122133100111331} is an apocalyptic number.

122133100111331 is a deficient number, since it is larger than the sum of its proper divisors (203882345533).

122133100111331 is an equidigital number, since it uses as much as digits as its factorization.

122133100111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106701.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 122133100111331 its reverse (133111001331221), we get a palindrome (255244101442552).

The spelling of 122133100111331 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred million, one hundred eleven thousand, three hundred thirty-one".