100303322112133 has 8 divisors (see below), whose sum is σ = 116971804212800. Its totient is φ = 85974276095820.

The previous prime is 100303322112127. The next prime is 100303322112173. The reversal of 100303322112133 is 331211223303001.

It is not a de Polignac number, because 100303322112133 - 2³⁷ = 100165883158661 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100303322112098 and 100303322112107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303322112173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146214754923 + ... + 146214755608.

It is an arithmetic number, because the mean of its divisors is an integer number (14621475526600).

Almost surely, 2^{100303322112133} is an apocalyptic number.

It is an amenable number.

100303322112133 is a deficient number, since it is larger than the sum of its proper divisors (16668482100667).

100303322112133 is an frugal number, since it uses more digits than its factorization.

100303322112133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292429510552 (or 292429510538 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 100303322112133 its reverse (331211223303001), we get a palindrome (431514545415134).

The spelling of 100303322112133 in words is "one hundred trillion, three hundred three billion, three hundred twenty-two million, one hundred twelve thousand, one hundred thirty-three".