21133164164011 has 16 divisors (see below), whose sum is σ = 22165987131360. Its totient is φ = 20120730497280.

The previous prime is 21133164164009. The next prime is 21133164164053. The reversal of 21133164164011 is 11046146133112.

It is a cyclic number.

It is not a de Polignac number, because 21133164164011 - 2¹ = 21133164164009 is a prime.

It is a super-2 number, since 2×21133164164011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21133164134011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9152076 + ... + 11226166.

It is an arithmetic number, because the mean of its divisors is an integer number (1385374195710).

Almost surely, 2^{21133164164011} is an apocalyptic number.

21133164164011 is a deficient number, since it is larger than the sum of its proper divisors (1032822967349).

21133164164011 is a wasteful number, since it uses less digits than its factorization.

21133164164011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079006.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 21133164164011 in words is "twenty-one trillion, one hundred thirty-three billion, one hundred sixty-four million, one hundred sixty-four thousand, eleven".