122131311133 has 8 divisors (see below), whose sum is σ = 134007651288. Its totient is φ = 110609488704.

The previous prime is 122131311083. The next prime is 122131311149. The reversal of 122131311133 is 331113131221.

It can be written as a sum of positive squares in 4 ways, for example, as 25849565284 + 96281745849 = 160778^2 + 310293^2 .

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

It is not a de Polignac number, because 122131311133 - 2¹³ = 122131302941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131311163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88628710 + ... + 88630087.

It is an arithmetic number, because the mean of its divisors is an integer number (16750956411).

Almost surely, 2^122131311133 is an apocalyptic number.

122131311133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122131311133 is a deficient number, since it is larger than the sum of its proper divisors (11876340155).

122131311133 is a wasteful number, since it uses less digits than its factorization.

122131311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177258863.

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

Adding to 122131311133 its reverse (331113131221), we get a palindrome (453244442354).

The spelling of 122131311133 in words is "one hundred twenty-two billion, one hundred thirty-one million, three hundred eleven thousand, one hundred thirty-three".