10111031310312 has 48 divisors (see below), whose sum is σ = 28825308564000. Its totient is φ = 3192957255456.

The previous prime is 10111031310257. The next prime is 10111031310313. The reversal of 10111031310312 is 21301313011101.

10111031310312 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 10 + 31 + 310 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10111031310313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3695551012 + ... + 3695553747.

It is an arithmetic number, because the mean of its divisors is an integer number (600527261750).

Almost surely, 2^{10111031310312} is an apocalyptic number.

10111031310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111031310312 is an abundant number, since it is smaller than the sum of its proper divisors (18714277253688).

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

10111031310312 is a wasteful number, since it uses less digits than its factorization.

10111031310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391104790 (or 7391104783 counting only the distinct ones).

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

Adding to 10111031310312 its reverse (21301313011101), we get a palindrome (31412344321413).

The spelling of 10111031310312 in words is "ten trillion, one hundred eleven billion, thirty-one million, three hundred ten thousand, three hundred twelve".