113101321311 has 24 divisors (see below), whose sum is σ = 178240190544. Its totient is φ = 68538591360.

The previous prime is 113101321271. The next prime is 113101321321. The reversal of 113101321311 is 113123101311.

113101321311 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 1 + 321 + 311 = 666.

It is not a de Polignac number, because 113101321311 - 2¹⁰ = 113101320287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113101321321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898995 + ... + 1017051.

It is an arithmetic number, because the mean of its divisors is an integer number (7426674606).

Almost surely, 2^113101321311 is an apocalyptic number.

113101321311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113101321311 is a deficient number, since it is larger than the sum of its proper divisors (65138869233).

113101321311 is a wasteful number, since it uses less digits than its factorization.

113101321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127751 (or 127748 counting only the distinct ones).

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

Adding to 113101321311 its reverse (113123101311), we get a palindrome (226224422622).

The spelling of 113101321311 in words is "one hundred thirteen billion, one hundred one million, three hundred twenty-one thousand, three hundred eleven".