2120001210013 has 2 divisors, whose sum is σ = 2120001210014. Its totient is φ = 2120001210012.

The previous prime is 2120001210001. The next prime is 2120001210031. The reversal of 2120001210013 is 3100121000212.

Together with next prime (2120001210031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2118020336964 + 1980873049 = 1455342^2 + 44507^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120001210013 - 2²⁵ = 2119967655581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120001209975 and 2120001210002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120001210073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060000605006 + 1060000605007.

It is an arithmetic number, because the mean of its divisors is an integer number (1060000605007).

Almost surely, 2^{2120001210013} is an apocalyptic number.

It is an amenable number.

2120001210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120001210013 is an equidigital number, since it uses as much as digits as its factorization.

2120001210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2120001210013 its reverse (3100121000212), we get a palindrome (5220122210225).

The spelling of 2120001210013 in words is "two trillion, one hundred twenty billion, one million, two hundred ten thousand, thirteen".