221636653401213 has 6 divisors (see below), whose sum is σ = 320141832690654. Its totient is φ = 147757768934136.

The previous prime is 221636653401211. The next prime is 221636653401263. The reversal of 221636653401213 is 312104356636122.

221636653401213 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 36 + 65 + 340 + 1 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125743636321209 + 95893017080004 = 11213547^2 + 9792498^2 .

It is not a de Polignac number, because 221636653401213 - 2¹ = 221636653401211 is a prime.

It is a super-2 number, since 2×221636653401213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221636653401211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12313147411170 + ... + 12313147411187.

It is an arithmetic number, because the mean of its divisors is an integer number (53356972115109).

Almost surely, 2^{221636653401213} is an apocalyptic number.

It is an amenable number.

221636653401213 is a deficient number, since it is larger than the sum of its proper divisors (98505179289441).

221636653401213 is a wasteful number, since it uses less digits than its factorization.

221636653401213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24626294822363 (or 24626294822360 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 221636653401213 in words is "two hundred twenty-one trillion, six hundred thirty-six billion, six hundred fifty-three million, four hundred one thousand, two hundred thirteen".