122133122330131 has 16 divisors (see below), whose sum is σ = 133674210552960. Its totient is φ = 110665069058880.

The previous prime is 122133122330113. The next prime is 122133122330179. The reversal of 122133122330131 is 131033221331221.

It is a cyclic number.

It is not a de Polignac number, because 122133122330131 - 2¹⁹ = 122133121805843 is a prime.

It is a super-2 number, since 2×122133122330131² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122133122330131.

It is not an unprimeable number, because it can be changed into a prime (122133122330101) 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, 113502420 + ... + 114573406.

It is an arithmetic number, because the mean of its divisors is an integer number (8354638159560).

Almost surely, 2^{122133122330131} is an apocalyptic number.

122133122330131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122133122330131 is a deficient number, since it is larger than the sum of its proper divisors (11541088222829).

122133122330131 is a wasteful number, since it uses less digits than its factorization.

122133122330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105074.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 122133122330131 its reverse (131033221331221), we get a palindrome (253166343661352).

The spelling of 122133122330131 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred thirty thousand, one hundred thirty-one".