220332200400013 has 16 divisors (see below), whose sum is σ = 252553912160256. Its totient is φ = 190417632111360.

The previous prime is 220332200400007. The next prime is 220332200400031. The reversal of 220332200400013 is 310004002233022.

It is a cyclic number.

It is not a de Polignac number, because 220332200400013 - 2⁹ = 220332200399501 is a prime.

It is a super-2 number, since 2×220332200400013² (a number of 29 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 (220332200400083) 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, 2609848581 + ... + 2609933002.

It is an arithmetic number, because the mean of its divisors is an integer number (15784619510016).

Almost surely, 2^{220332200400013} is an apocalyptic number.

It is an amenable number.

220332200400013 is a deficient number, since it is larger than the sum of its proper divisors (32221711760243).

220332200400013 is a wasteful number, since it uses less digits than its factorization.

220332200400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219781804.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 220332200400013 its reverse (310004002233022), we get a palindrome (530336202633035).

The spelling of 220332200400013 in words is "two hundred twenty trillion, three hundred thirty-two billion, two hundred million, four hundred thousand, thirteen".