120013003121301 has 6 divisors (see below), whose sum is σ = 173352115619670. Its totient is φ = 80008668747528.

The previous prime is 120013003121273. The next prime is 120013003121339. The reversal of 120013003121301 is 103121300310021.

120013003121301 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 30 + 0 + 312 + 1 + 301 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74314727118801 + 45698276002500 = 8620599^2 + 6760050^2 .

It is not a de Polignac number, because 120013003121301 - 2⁵ = 120013003121269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013003120301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6667389062286 + ... + 6667389062303.

It is an arithmetic number, because the mean of its divisors is an integer number (28892019269945).

Almost surely, 2^{120013003121301} is an apocalyptic number.

It is an amenable number.

120013003121301 is a deficient number, since it is larger than the sum of its proper divisors (53339112498369).

120013003121301 is a wasteful number, since it uses less digits than its factorization.

120013003121301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13334778124595 (or 13334778124592 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120013003121301 its reverse (103121300310021), we get a palindrome (223134303431322).

The spelling of 120013003121301 in words is "one hundred twenty trillion, thirteen billion, three million, one hundred twenty-one thousand, three hundred one".