10223100122313 has 16 divisors (see below), whose sum is σ = 14679508729536. Its totient is φ = 6291059046720.

The previous prime is 10223100122303. The next prime is 10223100122321. The reversal of 10223100122313 is 31322100132201.

It is not a de Polignac number, because 10223100122313 - 2²⁶ = 10223033013449 is a prime.

It is a super-2 number, since 2×10223100122313² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10223100122313.

It is not an unprimeable number, because it can be changed into a prime (10223100122303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548631 + ... + 4779587.

It is an arithmetic number, because the mean of its divisors is an integer number (917469295596).

Almost surely, 2^{10223100122313} is an apocalyptic number.

10223100122313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10223100122313 is a deficient number, since it is larger than the sum of its proper divisors (4456408607223).

10223100122313 is a wasteful number, since it uses less digits than its factorization.

10223100122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312104.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10223100122313 its reverse (31322100132201), we get a palindrome (41545200254514).

The spelling of 10223100122313 in words is "ten trillion, two hundred twenty-three billion, one hundred million, one hundred twenty-two thousand, three hundred thirteen".