10231113013000 has 192 divisors, whose sum is σ = 26365770390960. Its totient is φ = 3713240960000.

The previous prime is 10231113012979. The next prime is 10231113013019. The reversal of 10231113013000 is 31031113201.

10231113013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 106459943524 + 10124653069476 = 326282^2 + 3181926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62959854 + ... + 63122146.

Almost surely, 2^{10231113013000} is an apocalyptic number.

10231113013000 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 10231113013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182885195480).

10231113013000 is an abundant number, since it is smaller than the sum of its proper divisors (16134657377960).

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

10231113013000 is a wasteful number, since it uses less digits than its factorization.

10231113013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162857 (or 162832 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10231113013000 its reverse (31031113201), we get a palindrome (10262144126201).

The spelling of 10231113013000 in words is "ten trillion, two hundred thirty-one billion, one hundred thirteen million, thirteen thousand".