113111032201002 has 128 divisors (see below), whose sum is σ = 277524164736000. Its totient is φ = 33861655535040.

The previous prime is 113111032200989. The next prime is 113111032201121. The reversal of 113111032201002 is 200102230111311.

113111032201002 is a `hidden beast` number, since 1 + 131 + 110 + 322 + 0 + 100 + 2 = 666.

It is a super-3 number, since 3×113111032201002³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1884243124 + ... + 1884303152.

It is an arithmetic number, because the mean of its divisors is an integer number (2168157537000).

Almost surely, 2^{113111032201002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113111032201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138762082368000).

113111032201002 is an abundant number, since it is smaller than the sum of its proper divisors (164413132534998).

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

113111032201002 is a wasteful number, since it uses less digits than its factorization.

113111032201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98353 (or 98347 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113111032201002 its reverse (200102230111311), we get a palindrome (313213262312313).

The spelling of 113111032201002 in words is "one hundred thirteen trillion, one hundred eleven billion, thirty-two million, two hundred one thousand, two".