13023302310100 has 72 divisors (see below), whose sum is σ = 28678267598400. Its totient is φ = 5132425939200.

The previous prime is 13023302310049. The next prime is 13023302310101. The reversal of 13023302310100 is 101320332031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023302310101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9730296 + ... + 10987504.

It is an arithmetic number, because the mean of its divisors is an integer number (398309272200).

Almost surely, 2^{13023302310100} is an apocalyptic number.

13023302310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023302310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339133799200).

13023302310100 is an abundant number, since it is smaller than the sum of its proper divisors (15654965288300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13023302310100 is a wasteful number, since it uses less digits than its factorization.

13023302310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258753 (or 1258746 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13023302310100 its reverse (101320332031), we get a palindrome (13124622642131).

The spelling of 13023302310100 in words is "thirteen trillion, twenty-three billion, three hundred two million, three hundred ten thousand, one hundred".