10102223223313 has 24 divisors (see below), whose sum is σ = 11072167156512. Its totient is φ = 9211715480448.

The previous prime is 10102223223263. The next prime is 10102223223329. The reversal of 10102223223313 is 31332232220101.

It is not a de Polignac number, because 10102223223313 - 2¹³ = 10102223215121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102223223353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137890870 + ... + 137964112.

It is an arithmetic number, because the mean of its divisors is an integer number (461340298188).

Almost surely, 2^{10102223223313} is an apocalyptic number.

10102223223313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102223223313 is a deficient number, since it is larger than the sum of its proper divisors (969943933199).

10102223223313 is an equidigital number, since it uses as much as digits as its factorization.

10102223223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83185 (or 83172 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10102223223313 its reverse (31332232220101), we get a palindrome (41434455443414).

The spelling of 10102223223313 in words is "ten trillion, one hundred two billion, two hundred twenty-three million, two hundred twenty-three thousand, three hundred thirteen".