10102223121313 has 24 divisors (see below), whose sum is σ = 10760943107880. Its totient is φ = 9479670520320.

The previous prime is 10102223121299. The next prime is 10102223121329. The reversal of 10102223121313 is 31312132220101.

It can be written as a sum of positive squares in 4 ways, for example, as 8228108667024 + 1874114454289 = 2868468^2 + 1368983^2 .

It is not a de Polignac number, because 10102223121313 - 2²⁵ = 10102189566881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102223121413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477207193 + ... + 477228361.

It is an arithmetic number, because the mean of its divisors is an integer number (448372629495).

Almost surely, 2^{10102223121313} is an apocalyptic number.

It is an amenable number.

10102223121313 is a deficient number, since it is larger than the sum of its proper divisors (658719986567).

10102223121313 is a wasteful number, since it uses less digits than its factorization.

10102223121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38289 (or 38266 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10102223121313 its reverse (31312132220101), we get a palindrome (41414355341414).

The spelling of 10102223121313 in words is "ten trillion, one hundred two billion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred thirteen".