10111131012 has 96 divisors (see below), whose sum is σ = 24279397632. Its totient is φ = 3274131456.

The previous prime is 10111131011. The next prime is 10111131031. The reversal of 10111131012 is 21013111101.

10111131012 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 (12).

It is not an unprimeable number, because it can be changed into a prime (10111131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20761833 + ... + 20762319.

It is an arithmetic number, because the mean of its divisors is an integer number (252910392).

Almost surely, 2^10111131012 is an apocalyptic number.

10111131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111131012 is an abundant number, since it is smaller than the sum of its proper divisors (14168266620).

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

10111131012 is a wasteful number, since it uses less digits than its factorization.

10111131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10111131012 its reverse (21013111101), we get a palindrome (31124242113).

The spelling of 10111131012 in words is "ten billion, one hundred eleven million, one hundred thirty-one thousand, twelve".