10123113000 has 512 divisors, whose sum is σ = 42419220480. Its totient is φ = 1941120000.

The previous prime is 10123112983. The next prime is 10123113041. The reversal of 10123113000 is 31132101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3001315 + ... + 3004685.

It is an arithmetic number, because the mean of its divisors is an integer number (82850040).

Almost surely, 2^10123113000 is an apocalyptic number.

10123113000 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 10123113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21209610240).

10123113000 is an abundant number, since it is smaller than the sum of its proper divisors (32296107480).

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

10123113000 is a wasteful number, since it uses less digits than its factorization.

10123113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10123113000 its reverse (31132101), we get a palindrome (10154245101).

The spelling of 10123113000 in words is "ten billion, one hundred twenty-three million, one hundred thirteen thousand".