21122113113131 has 16 divisors (see below), whose sum is σ = 23000975978400. Its totient is φ = 19319996908800.

The previous prime is 21122113113113. The next prime is 21122113113163. The reversal of 21122113113131 is 13131131122112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21122113113131 is a prime.

It is a super-2 number, since 2×21122113113131² (a number of 27 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 = 21122113113097 and 21122113113106.

It is not an unprimeable number, because it can be changed into a prime (21122113113631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27178391 + ... + 27944751.

It is an arithmetic number, because the mean of its divisors is an integer number (1437560998650).

Almost surely, 2^{21122113113131} is an apocalyptic number.

21122113113131 is a deficient number, since it is larger than the sum of its proper divisors (1878862865269).

21122113113131 is a wasteful number, since it uses less digits than its factorization.

21122113113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816430.

The product of its digits is 216, while the sum is 23.

Adding to 21122113113131 its reverse (13131131122112), we get a palindrome (34253244235243).

The spelling of 21122113113131 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred thirteen thousand, one hundred thirty-one".