101112313311 has 32 divisors (see below), whose sum is σ = 150615924480. Its totient is φ = 67039891488.

The previous prime is 101112313273. The next prime is 101112313343. The reversal of 101112313311 is 113313211101.

101112313311 is a `hidden beast` number, since 10 + 111 + 231 + 3 + 311 = 666.

It is not a de Polignac number, because 101112313311 - 2¹¹ = 101112311263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112313381) 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 31 ways as a sum of consecutive naturals, for example, 6102340 + ... + 6118886.

It is an arithmetic number, because the mean of its divisors is an integer number (4706747640).

Almost surely, 2^101112313311 is an apocalyptic number.

101112313311 is a deficient number, since it is larger than the sum of its proper divisors (49503611169).

101112313311 is a wasteful number, since it uses less digits than its factorization.

101112313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17780 (or 17774 counting only the distinct ones).

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

Adding to 101112313311 its reverse (113313211101), we get a palindrome (214425524412).

The spelling of 101112313311 in words is "one hundred one billion, one hundred twelve million, three hundred thirteen thousand, three hundred eleven".