2122132186413 has 12 divisors (see below), whose sum is σ = 3078457852860. Its totient is φ = 1408682880576.

The previous prime is 2122132186399. The next prime is 2122132186429. The reversal of 2122132186413 is 3146812312212.

2122132186413 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 3 + 2 + 1 + 8 + 641 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 923363402724 + 1198768783689 = 960918^2 + 1094883^2 .

It is not a de Polignac number, because 2122132186413 - 2⁸ = 2122132186157 is a prime.

It is a super-2 number, since 2×2122132186413² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122132186453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505990318 + ... + 505994511.

It is an arithmetic number, because the mean of its divisors is an integer number (256538154405).

Almost surely, 2^{2122132186413} is an apocalyptic number.

It is an amenable number.

2122132186413 is a deficient number, since it is larger than the sum of its proper divisors (956325666447).

2122132186413 is a wasteful number, since it uses less digits than its factorization.

2122132186413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011985068 (or 1011985065 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 2122132186413 its reverse (3146812312212), we get a palindrome (5268944498625).

The spelling of 2122132186413 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-two million, one hundred eighty-six thousand, four hundred thirteen".