120002133313 has 16 divisors (see below), whose sum is σ = 126845844480. Its totient is φ = 113341310656.

The previous prime is 120002133299. The next prime is 120002133373. The reversal of 120002133313 is 313331200021.

It is a de Polignac number, because none of the positive numbers 2^k-120002133313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120002133373) 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, 2790531 + ... + 2833207.

It is an arithmetic number, because the mean of its divisors is an integer number (7927865280).

Almost surely, 2^120002133313 is an apocalyptic number.

It is an amenable number.

120002133313 is a deficient number, since it is larger than the sum of its proper divisors (6843711167).

120002133313 is a wasteful number, since it uses less digits than its factorization.

120002133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44816.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 120002133313 its reverse (313331200021), we get a palindrome (433333333334).

The spelling of 120002133313 in words is "one hundred twenty billion, two million, one hundred thirty-three thousand, three hundred thirteen".