100120201300133 has 16 divisors (see below), whose sum is σ = 116862990028800. Its totient is φ = 83987556062256.

The previous prime is 100120201300129. The next prime is 100120201300153. The reversal of 100120201300133 is 331003102021001.

It is not a de Polignac number, because 100120201300133 - 2² = 100120201300129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120201300153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191810 + ... + 14151932.

It is an arithmetic number, because the mean of its divisors is an integer number (7303936876800).

Almost surely, 2^{100120201300133} is an apocalyptic number.

It is an amenable number.

100120201300133 is a deficient number, since it is larger than the sum of its proper divisors (16742788728667).

100120201300133 is a wasteful number, since it uses less digits than its factorization.

100120201300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13981976.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100120201300133 its reverse (331003102021001), we get a palindrome (431123303321134).

The spelling of 100120201300133 in words is "one hundred trillion, one hundred twenty billion, two hundred one million, three hundred thousand, one hundred thirty-three".