100133002001299 has 16 divisors (see below), whose sum is σ = 101871869950080. Its totient is φ = 98408922393600.

The previous prime is 100133002001261. The next prime is 100133002001437. The reversal of 100133002001299 is 992100200331001.

It is a cyclic number.

It is not a de Polignac number, because 100133002001299 - 2³¹ = 100130854517651 is a prime.

It is a super-3 number, since 3×100133002001299³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100133002001299.

It is not an unprimeable number, because it can be changed into a prime (100133002001239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153528187 + ... + 154179019.

It is an arithmetic number, because the mean of its divisors is an integer number (6366991871880).

Almost surely, 2^{100133002001299} is an apocalyptic number.

100133002001299 is a deficient number, since it is larger than the sum of its proper divisors (1738867948781).

100133002001299 is a wasteful number, since it uses less digits than its factorization.

100133002001299 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662190.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 100133002001299 in words is "one hundred trillion, one hundred thirty-three billion, two million, one thousand, two hundred ninety-nine".