102223100313 has 12 divisors (see below), whose sum is σ = 147665578788. Its totient is φ = 68144123040.

The previous prime is 102223100281. The next prime is 102223100327. The reversal of 102223100313 is 313001322201.

It can be written as a sum of positive squares in 2 ways, for example, as 41653952649 + 60569147664 = 204093^2 + 246108^2 .

It is not a de Polignac number, because 102223100313 - 2⁵ = 102223100281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102223100393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240978 + ... + 512363.

It is an arithmetic number, because the mean of its divisors is an integer number (12305464899).

Almost surely, 2^102223100313 is an apocalyptic number.

It is an amenable number.

102223100313 is a deficient number, since it is larger than the sum of its proper divisors (45442478475).

102223100313 is a wasteful number, since it uses less digits than its factorization.

102223100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768424 (or 768421 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102223100313 its reverse (313001322201), we get a palindrome (415224422514).

The spelling of 102223100313 in words is "one hundred two billion, two hundred twenty-three million, one hundred thousand, three hundred thirteen".