10013123002110 has 128 divisors (see below), whose sum is σ = 25112050790400. Its totient is φ = 2552240947200.

The previous prime is 10013123002063. The next prime is 10013123002117. The reversal of 10013123002110 is 1120032131001.

It is a happy number.

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 10013123002110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013123002117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345873916 + ... + 345902864.

It is an arithmetic number, because the mean of its divisors is an integer number (196187896800).

Almost surely, 2^{10013123002110} is an apocalyptic number.

10013123002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013123002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556025395200).

10013123002110 is an abundant number, since it is smaller than the sum of its proper divisors (15098927788290).

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

10013123002110 is a wasteful number, since it uses less digits than its factorization.

10013123002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33554.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10013123002110 its reverse (1120032131001), we get a palindrome (11133155133111).

The spelling of 10013123002110 in words is "ten trillion, thirteen billion, one hundred twenty-three million, two thousand, one hundred ten".