113002121330033 has 64 divisors (see below), whose sum is σ = 130108273408512. Its totient is φ = 97221230346240.

The previous prime is 113002121329987. The next prime is 113002121330039. The reversal of 113002121330033 is 330033121200311.

It is not a de Polignac number, because 113002121330033 - 2¹² = 113002121325937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113002121329990 and 113002121330008.

It is not an unprimeable number, because it can be changed into a prime (113002121330039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38266886885 + ... + 38266889837.

It is an arithmetic number, because the mean of its divisors is an integer number (2032941772008).

Almost surely, 2^{113002121330033} is an apocalyptic number.

113002121330033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113002121330033 is a deficient number, since it is larger than the sum of its proper divisors (17106152078479).

113002121330033 is a wasteful number, since it uses less digits than its factorization.

113002121330033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 113002121330033 its reverse (330033121200311), we get a palindrome (443035242530344).

The spelling of 113002121330033 in words is "one hundred thirteen trillion, two billion, one hundred twenty-one million, three hundred thirty thousand, thirty-three".