10113123144 has 64 divisors (see below), whose sum is σ = 25813347840. Its totient is φ = 3300802560.

The previous prime is 10113123127. The next prime is 10113123187. The reversal of 10113123144 is 44132131101.

It is a self number, because there is not a number n which added to its sum of digits gives 10113123144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310984 + ... + 341960.

It is an arithmetic number, because the mean of its divisors is an integer number (403333560).

Almost surely, 2^10113123144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906673920).

10113123144 is an abundant number, since it is smaller than the sum of its proper divisors (15700224696).

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

10113123144 is a wasteful number, since it uses less digits than its factorization.

10113123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31270 (or 31266 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10113123144 its reverse (44132131101), we get a palindrome (54245254245).

The spelling of 10113123144 in words is "ten billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred forty-four".