122131123133431 has 16 divisors (see below), whose sum is σ = 123368841745920. Its totient is φ = 120895205970240.

The previous prime is 122131123133417. The next prime is 122131123133479. The reversal of 122131123133431 is 134331321131221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122131123133431 - 2⁷ = 122131123133303 is a prime.

It is a super-4 number, since 4×122131123133431⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122131123133393 and 122131123133402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131123133491) 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, 1675540435 + ... + 1675613323.

It is an arithmetic number, because the mean of its divisors is an integer number (7710552609120).

Almost surely, 2^{122131123133431} is an apocalyptic number.

122131123133431 is a deficient number, since it is larger than the sum of its proper divisors (1237718612489).

122131123133431 is a wasteful number, since it uses less digits than its factorization.

122131123133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85014.

The product of its digits is 7776, while the sum is 31.

Adding to 122131123133431 its reverse (134331321131221), we get a palindrome (256462444264652).

The spelling of 122131123133431 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, one hundred twenty-three million, one hundred thirty-three thousand, four hundred thirty-one".