100113201203333 has 32 divisors (see below), whose sum is σ = 106520047920000. Its totient is φ = 93825597922560.

The previous prime is 100113201203321. The next prime is 100113201203357. The reversal of 100113201203333 is 333302102311001.

It is a cyclic number.

It is not a de Polignac number, because 100113201203333 - 2¹⁴ = 100113201186949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100113201203299 and 100113201203308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113201203363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1834186103 + ... + 1834240683.

It is an arithmetic number, because the mean of its divisors is an integer number (3328751497500).

Almost surely, 2^{100113201203333} is an apocalyptic number.

It is an amenable number.

100113201203333 is a deficient number, since it is larger than the sum of its proper divisors (6406846716667).

100113201203333 is a wasteful number, since it uses less digits than its factorization.

100113201203333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57365.

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

Adding to 100113201203333 its reverse (333302102311001), we get a palindrome (433415303514334).

The spelling of 100113201203333 in words is "one hundred trillion, one hundred thirteen billion, two hundred one million, two hundred three thousand, three hundred thirty-three".