13010310023100 has 576 divisors, whose sum is σ = 44346081669120. Its totient is φ = 2914419916800.

The previous prime is 13010310023089. The next prime is 13010310023101. The reversal of 13010310023100 is 132001301031.

It is a super-2 number, since 2×13010310023100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13010310023100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010310023101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3479621031 + ... + 3479624769.

It is an arithmetic number, because the mean of its divisors is an integer number (76989725120).

Almost surely, 2^{13010310023100} is an apocalyptic number.

13010310023100 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 13010310023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22173040834560).

13010310023100 is an abundant number, since it is smaller than the sum of its proper divisors (31335771646020).

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

13010310023100 is a wasteful number, since it uses less digits than its factorization.

13010310023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5503 counting only the distinct ones).

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

Adding to 13010310023100 its reverse (132001301031), we get a palindrome (13142311324131).

The spelling of 13010310023100 in words is "thirteen trillion, ten billion, three hundred ten million, twenty-three thousand, one hundred".