10123311400 has 96 divisors (see below), whose sum is σ = 23999580000. Its totient is φ = 3970264320.

The previous prime is 10123311389. The next prime is 10123311413. The reversal of 10123311400 is 411332101.

10123311400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3066951 + ... + 3070249.

It is an arithmetic number, because the mean of its divisors is an integer number (249995625).

Almost surely, 2^10123311400 is an apocalyptic number.

10123311400 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 10123311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999790000).

10123311400 is an abundant number, since it is smaller than the sum of its proper divisors (13876268600).

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

10123311400 is a wasteful number, since it uses less digits than its factorization.

10123311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10123311400 its reverse (411332101), we get a palindrome (10534643501).

The spelling of 10123311400 in words is "ten billion, one hundred twenty-three million, three hundred eleven thousand, four hundred".