21222120312013 has 16 divisors (see below), whose sum is σ = 22181217448320. Its totient is φ = 20266081977856.

The previous prime is 21222120311929. The next prime is 21222120312067. The reversal of 21222120312013 is 31021302122212.

It is a cyclic number.

It is not a de Polignac number, because 21222120312013 - 2¹⁷ = 21222120180941 is a prime.

It is a super-2 number, since 2×21222120312013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222120315013) 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, 36088881 + ... + 36672217.

It is an arithmetic number, because the mean of its divisors is an integer number (1386326090520).

Almost surely, 2^{21222120312013} is an apocalyptic number.

21222120312013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21222120312013 is a deficient number, since it is larger than the sum of its proper divisors (959097136307).

21222120312013 is a wasteful number, since it uses less digits than its factorization.

21222120312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585956.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21222120312013 its reverse (31021302122212), we get a palindrome (52243422434225).

The spelling of 21222120312013 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, three hundred twelve thousand, thirteen".