10023310100013 has 16 divisors (see below), whose sum is σ = 15274264732800. Its totient is φ = 5727362268096.

The previous prime is 10023310100003. The next prime is 10023310100029. The reversal of 10023310100013 is 31000101332001.

It is not a de Polignac number, because 10023310100013 - 2⁶ = 10023310099949 is a prime.

It is a super-2 number, since 2×10023310100013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023310099965 and 10023310100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023310100003) 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, 9639670 + ... + 10628727.

It is an arithmetic number, because the mean of its divisors is an integer number (954641545800).

Almost surely, 2^{10023310100013} is an apocalyptic number.

It is an amenable number.

10023310100013 is a deficient number, since it is larger than the sum of its proper divisors (5250954632787).

10023310100013 is a wasteful number, since it uses less digits than its factorization.

10023310100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20291956.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10023310100013 its reverse (31000101332001), we get a palindrome (41023411432014).

The spelling of 10023310100013 in words is "ten trillion, twenty-three billion, three hundred ten million, one hundred thousand, thirteen".