21214313010013 has 2 divisors, whose sum is σ = 21214313010014. Its totient is φ = 21214313010012.

The previous prime is 21214313009963. The next prime is 21214313010053. The reversal of 21214313010013 is 31001031341212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16905608159449 + 4308704850564 = 4111643^2 + 2075742^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21214313010013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21214313010053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10607156505006 + 10607156505007.

It is an arithmetic number, because the mean of its divisors is an integer number (10607156505007).

Almost surely, 2^{21214313010013} is an apocalyptic number.

It is an amenable number.

21214313010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21214313010013 is an equidigital number, since it uses as much as digits as its factorization.

21214313010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21214313010013 its reverse (31001031341212), we get a palindrome (52215344351225).

The spelling of 21214313010013 in words is "twenty-one trillion, two hundred fourteen billion, three hundred thirteen million, ten thousand, thirteen".