113113313127 has 24 divisors (see below), whose sum is σ = 168498124080. Its totient is φ = 73066302720.

The previous prime is 113113313113. The next prime is 113113313129. The reversal of 113113313127 is 721313311311.

113113313127 is a `hidden beast` number, since 1 + 1 + 3 + 11 + 331 + 312 + 7 = 666.

It is not a de Polignac number, because 113113313127 - 2¹¹ = 113113311079 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113113313127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113313129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624477 + ... + 784982.

It is an arithmetic number, because the mean of its divisors is an integer number (7020755170).

Almost surely, 2^113113313127 is an apocalyptic number.

113113313127 is a deficient number, since it is larger than the sum of its proper divisors (55384810953).

113113313127 is a wasteful number, since it uses less digits than its factorization.

113113313127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409743 (or 1409740 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

Adding to 113113313127 its reverse (721313311311), we get a palindrome (834426624438).

The spelling of 113113313127 in words is "one hundred thirteen billion, one hundred thirteen million, three hundred thirteen thousand, one hundred twenty-seven".