120300133100103 has 128 divisors (see below), whose sum is σ = 206640944640000. Its totient is φ = 68405372311680.

The previous prime is 120300133099969. The next prime is 120300133100123. The reversal of 120300133100103 is 301001331003021.

It is a happy number.

120300133100103 is a `hidden beast` number, since 1 + 20 + 300 + 1 + 331 + 0 + 0 + 10 + 3 = 666.

It is not a de Polignac number, because 120300133100103 - 2¹² = 120300133096007 is a prime.

It is a super-2 number, since 2×120300133100103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120300133100123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260074873 + ... + 260537021.

It is an arithmetic number, because the mean of its divisors is an integer number (1614382380000).

Almost surely, 2^{120300133100103} is an apocalyptic number.

120300133100103 is a deficient number, since it is larger than the sum of its proper divisors (86340811539897).

120300133100103 is a wasteful number, since it uses less digits than its factorization.

120300133100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462634 (or 462628 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 120300133100103 its reverse (301001331003021), we get a palindrome (421301464103124).

The spelling of 120300133100103 in words is "one hundred twenty trillion, three hundred billion, one hundred thirty-three million, one hundred thousand, one hundred three".