113205317436 has 72 divisors (see below), whose sum is σ = 290943180528. Its totient is φ = 37104480000.

The previous prime is 113205317417. The next prime is 113205317437. The reversal of 113205317436 is 634713502311.

113205317436 is a `hidden beast` number, since 1 + 1 + 3 + 20 + 531 + 74 + 36 = 666.

It is a super-2 number, since 2×113205317436² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113205317436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113205317437) 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, 8977536 + ... + 8990136.

Almost surely, 2^113205317436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113205317436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145471590264).

113205317436 is an abundant number, since it is smaller than the sum of its proper divisors (177737863092).

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

113205317436 is a wasteful number, since it uses less digits than its factorization.

113205317436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16763 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 113205317436 its reverse (634713502311), we get a palindrome (747918819747).

The spelling of 113205317436 in words is "one hundred thirteen billion, two hundred five million, three hundred seventeen thousand, four hundred thirty-six".