101311133112 has 48 divisors (see below), whose sum is σ = 313582080240. Its totient is φ = 28946037888.

The previous prime is 101311133111. The next prime is 101311133129. The reversal of 101311133112 is 211331113101.

101311133112 is a `hidden beast` number, since 10 + 1 + 311 + 1 + 331 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311133111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100506573 + ... + 100507580.

It is an arithmetic number, because the mean of its divisors is an integer number (6532960005).

Almost surely, 2^101311133112 is an apocalyptic number.

101311133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101311133112 is an abundant number, since it is smaller than the sum of its proper divisors (212270947128).

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

101311133112 is a wasteful number, since it uses less digits than its factorization.

101311133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201014172 (or 201014165 counting only the distinct ones).

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

Adding to 101311133112 its reverse (211331113101), we get a palindrome (312642246213).

The spelling of 101311133112 in words is "one hundred one billion, three hundred eleven million, one hundred thirty-three thousand, one hundred twelve".