10231312113000 has 1536 divisors, whose sum is σ = 41989423956480. Its totient is φ = 2217922560000.

The previous prime is 10231312112953. The next prime is 10231312113053. The reversal of 10231312113000 is 31121313201.

10231312113000 is a `hidden beast` number, since 1 + 0 + 23 + 131 + 211 + 300 + 0 = 666.

10231312113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2677651090 + ... + 2677654910.

It is an arithmetic number, because the mean of its divisors is an integer number (27336864555).

Almost surely, 2^{10231312113000} is an apocalyptic number.

10231312113000 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 10231312113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994711978240).

10231312113000 is an abundant number, since it is smaller than the sum of its proper divisors (31758111843480).

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

10231312113000 is a wasteful number, since it uses less digits than its factorization.

10231312113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10231312113000 its reverse (31121313201), we get a palindrome (10262433426201).

The spelling of 10231312113000 in words is "ten trillion, two hundred thirty-one billion, three hundred twelve million, one hundred thirteen thousand".