21164563131 has 16 divisors (see below), whose sum is σ = 29945445120. Its totient is φ = 13267490720.

The previous prime is 21164563129. The next prime is 21164563139. The reversal of 21164563131 is 13136546112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21164563131 - 2¹ = 21164563129 is a prime.

It is a super-2 number, since 2×21164563131² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21164563092 and 21164563101.

It is not an unprimeable number, because it can be changed into a prime (21164563139) 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, 2595360 + ... + 2603501.

It is an arithmetic number, because the mean of its divisors is an integer number (1871590320).

Almost surely, 2^21164563131 is an apocalyptic number.

21164563131 is a deficient number, since it is larger than the sum of its proper divisors (8780881989).

21164563131 is a wasteful number, since it uses less digits than its factorization.

21164563131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198946.

The product of its digits is 12960, while the sum is 33.

The spelling of 21164563131 in words is "twenty-one billion, one hundred sixty-four million, five hundred sixty-three thousand, one hundred thirty-one".