13114123000 has 256 divisors, whose sum is σ = 37321689600. Its totient is φ = 4250880000.

The previous prime is 13114122977. The next prime is 13114123021. The reversal of 13114123000 is 32141131.

13114123000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3551155 + ... + 3554845.

It is an arithmetic number, because the mean of its divisors is an integer number (145787850).

Almost surely, 2^13114123000 is an apocalyptic number.

13114123000 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 13114123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18660844800).

13114123000 is an abundant number, since it is smaller than the sum of its proper divisors (24207566600).

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

13114123000 is a wasteful number, since it uses less digits than its factorization.

13114123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3745 counting only the distinct ones).

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

Adding to 13114123000 its reverse (32141131), we get a palindrome (13146264131).

The spelling of 13114123000 in words is "thirteen billion, one hundred fourteen million, one hundred twenty-three thousand".