221013122013 has 12 divisors (see below), whose sum is σ = 319488858780. Its totient is φ = 147227766336.

The previous prime is 221013121961. The next prime is 221013122023. The reversal of 221013122013 is 310221310122.

It can be written as a sum of positive squares in 2 ways, for example, as 204085290564 + 16927831449 = 451758^2 + 130107^2 .

It is not a de Polignac number, because 221013122013 - 2²⁰ = 221012073437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221013122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9514006 + ... + 9537207.

It is an arithmetic number, because the mean of its divisors is an integer number (26624071565).

Almost surely, 2^221013122013 is an apocalyptic number.

It is an amenable number.

221013122013 is a deficient number, since it is larger than the sum of its proper divisors (98475736767).

221013122013 is a wasteful number, since it uses less digits than its factorization.

221013122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19052508 (or 19052505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221013122013 its reverse (310221310122), we get a palindrome (531234432135).

The spelling of 221013122013 in words is "two hundred twenty-one billion, thirteen million, one hundred twenty-two thousand, thirteen".