113564542102011 has 384 divisors, whose sum is σ = 231082361782272. Its totient is φ = 51849745920000.

The previous prime is 113564542101961. The next prime is 113564542102027. The reversal of 113564542102011 is 110201245465311.

113564542102011 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 6 + 4 + 542 + 102 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 113564542102011 - 2¹⁵ = 113564542069243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113564542102031) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4005648486 + ... + 4005676836.

It is an arithmetic number, because the mean of its divisors is an integer number (601776983808).

Almost surely, 2^{113564542102011} is an apocalyptic number.

113564542102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113564542102011 is an abundant number, since it is smaller than the sum of its proper divisors (117517819680261).

113564542102011 is a wasteful number, since it uses less digits than its factorization.

113564542102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28683 (or 28680 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 113564542102011 its reverse (110201245465311), we get a palindrome (223765787567322).

The spelling of 113564542102011 in words is "one hundred thirteen trillion, five hundred sixty-four billion, five hundred forty-two million, one hundred two thousand, eleven".