120133002100307 has 16 divisors (see below), whose sum is σ = 147004410098880. Its totient is φ = 95825096936448.

The previous prime is 120133002100213. The next prime is 120133002100333. The reversal of 120133002100307 is 703001200331021.

It is not a de Polignac number, because 120133002100307 - 2¹⁴ = 120133002083923 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120133002100337) 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, 5671455848 + ... + 5671477029.

It is an arithmetic number, because the mean of its divisors is an integer number (9187775631180).

Almost surely, 2^{120133002100307} is an apocalyptic number.

120133002100307 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

120133002100307 is a deficient number, since it is larger than the sum of its proper divisors (26871407998573).

120133002100307 is a wasteful number, since it uses less digits than its factorization.

120133002100307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342932990.

The product of its (nonzero) digits is 756, while the sum is 23.

Adding to 120133002100307 its reverse (703001200331021), we get a palindrome (823134202431328).

The spelling of 120133002100307 in words is "one hundred twenty trillion, one hundred thirty-three billion, two million, one hundred thousand, three hundred seven".