2122013122031 has 32 divisors (see below), whose sum is σ = 2378148304896. Its totient is φ = 1877169420000.

The previous prime is 2122013122013. The next prime is 2122013122057. The reversal of 2122013122031 is 1302213102212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122013122031 is a prime.

It is a super-2 number, since 2×2122013122031² (a number of 25 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 = 2122013121994 and 2122013122012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122013122331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68113400 + ... + 68144546.

It is an arithmetic number, because the mean of its divisors is an integer number (74317134528).

Almost surely, 2^{2122013122031} is an apocalyptic number.

2122013122031 is a deficient number, since it is larger than the sum of its proper divisors (256135182865).

2122013122031 is a wasteful number, since it uses less digits than its factorization.

2122013122031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32363.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2122013122031 its reverse (1302213102212), we get a palindrome (3424226224243).

The spelling of 2122013122031 in words is "two trillion, one hundred twenty-two billion, thirteen million, one hundred twenty-two thousand, thirty-one".