10011312331110 has 192 divisors, whose sum is σ = 26982267436800. Its totient is φ = 2572339359744.

The previous prime is 10011312331079. The next prime is 10011312331157. The reversal of 10011312331110 is 1113321311001.

10011312331110 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 312 + 331 + 1 + 10 = 666.

10011312331110 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3936810499 + ... + 3936813041.

It is an arithmetic number, because the mean of its divisors is an integer number (140532642900).

Almost surely, 2^{10011312331110} is an apocalyptic number.

10011312331110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011312331110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491133718400).

10011312331110 is an abundant number, since it is smaller than the sum of its proper divisors (16970955105690).

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

10011312331110 is a wasteful number, since it uses less digits than its factorization.

10011312331110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10011312331110 its reverse (1113321311001), we get a palindrome (11124633642111).

The spelling of 10011312331110 in words is "ten trillion, eleven billion, three hundred twelve million, three hundred thirty-one thousand, one hundred ten".