2102120330013 has 16 divisors (see below), whose sum is σ = 3397366190400. Its totient is φ = 1274012321040.

The previous prime is 2102120329993. The next prime is 2102120330059. The reversal of 2102120330013 is 3100330212012.

2102120330013 is a `hidden beast` number, since 210 + 2 + 120 + 330 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 2102120330013 - 2³⁶ = 2033400853277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102120330113) 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, 3538922818 + ... + 3538923411.

It is an arithmetic number, because the mean of its divisors is an integer number (212335386900).

Almost surely, 2^{2102120330013} is an apocalyptic number.

It is an amenable number.

2102120330013 is a deficient number, since it is larger than the sum of its proper divisors (1295245860387).

2102120330013 is a wasteful number, since it uses less digits than its factorization.

2102120330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077846249 (or 7077846243 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2102120330013 its reverse (3100330212012), we get a palindrome (5202450542025).

The spelling of 2102120330013 in words is "two trillion, one hundred two billion, one hundred twenty million, three hundred thirty thousand, thirteen".