10111011312 has 160 divisors (see below), whose sum is σ = 27662229504. Its totient is φ = 3178137600.

The previous prime is 10111011311. The next prime is 10111011373. The reversal of 10111011312 is 21311011101.

10111011312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10111011312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111011311) 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, 13907493 + ... + 13908219.

Almost surely, 2^10111011312 is an apocalyptic number.

10111011312 is a gapful number since it is divisible by the number (12) 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 10111011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13831114752).

10111011312 is an abundant number, since it is smaller than the sum of its proper divisors (17551218192).

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

10111011312 is a wasteful number, since it uses less digits than its factorization.

10111011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

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

Adding to 10111011312 its reverse (21311011101), we get a palindrome (31422022413).

The spelling of 10111011312 in words is "ten billion, one hundred eleven million, eleven thousand, three hundred twelve".