2121312130013 has 2 divisors, whose sum is σ = 2121312130014. Its totient is φ = 2121312130012.

The previous prime is 2121312130009. The next prime is 2121312130051. The reversal of 2121312130013 is 3100312131212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1432050202489 + 689261927524 = 1196683^2 + 830218^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121312130013 - 2² = 2121312130009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121312130213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060656065006 + 1060656065007.

It is an arithmetic number, because the mean of its divisors is an integer number (1060656065007).

Almost surely, 2^{2121312130013} is an apocalyptic number.

It is an amenable number.

2121312130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121312130013 is an equidigital number, since it uses as much as digits as its factorization.

2121312130013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2121312130013 its reverse (3100312131212), we get a palindrome (5221624261225).

The spelling of 2121312130013 in words is "two trillion, one hundred twenty-one billion, three hundred twelve million, one hundred thirty thousand, thirteen".