102223223200013 has 4 divisors (see below), whose sum is σ = 102226271670108. Its totient is φ = 102220174729920.

The previous prime is 102223223199983. The next prime is 102223223200027. The reversal of 102223223200013 is 310002322322201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44094141876964 + 58129081323049 = 6640342^2 + 7624243^2 .

It is a cyclic number.

It is not a de Polignac number, because 102223223200013 - 2¹² = 102223223195917 is a prime.

It is a super-2 number, since 2×102223223200013² (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 (102223223200213) 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 3 ways as a sum of consecutive naturals, for example, 1524184748 + ... + 1524251813.

It is an arithmetic number, because the mean of its divisors is an integer number (25556567917527).

Almost surely, 2^{102223223200013} is an apocalyptic number.

It is an amenable number.

102223223200013 is a deficient number, since it is larger than the sum of its proper divisors (3048470095).

102223223200013 is an equidigital number, since it uses as much as digits as its factorization.

102223223200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048470094.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 102223223200013 its reverse (310002322322201), we get a palindrome (412225545522214).

The spelling of 102223223200013 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred twenty-three million, two hundred thousand, thirteen".