10123013032 has 64 divisors (see below), whose sum is σ = 21210336000. Its totient is φ = 4489923840.

The previous prime is 10123012997. The next prime is 10123013053. The reversal of 10123013032 is 23031032101.

10123013032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10123012997 and 10123013015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1439958 + ... + 1446970.

It is an arithmetic number, because the mean of its divisors is an integer number (331411500).

Almost surely, 2^10123013032 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 10123013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10605168000).

10123013032 is an abundant number, since it is smaller than the sum of its proper divisors (11087322968).

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

10123013032 is a wasteful number, since it uses less digits than its factorization.

10123013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10123013032 its reverse (23031032101), we get a palindrome (33154045133).

The spelling of 10123013032 in words is "ten billion, one hundred twenty-three million, thirteen thousand, thirty-two".