221424100313 has 24 divisors (see below), whose sum is σ = 241553236320. Its totient is φ = 202873008000.

The previous prime is 221424100307. The next prime is 221424100349. The reversal of 221424100313 is 313001424122.

It is not a de Polignac number, because 221424100313 - 2⁴ = 221424100297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221424100013) 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 23 ways as a sum of consecutive naturals, for example, 17024813 + ... + 17037813.

It is an arithmetic number, because the mean of its divisors is an integer number (10064718180).

Almost surely, 2^221424100313 is an apocalyptic number.

It is an amenable number.

221424100313 is a deficient number, since it is larger than the sum of its proper divisors (20129136007).

221424100313 is a wasteful number, since it uses less digits than its factorization.

221424100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 221424100313 its reverse (313001424122), we get a palindrome (534425524435).

The spelling of 221424100313 in words is "two hundred twenty-one billion, four hundred twenty-four million, one hundred thousand, three hundred thirteen".