21200013010313 has 2 divisors, whose sum is σ = 21200013010314. Its totient is φ = 21200013010312.

The previous prime is 21200013010307. The next prime is 21200013010327. The reversal of 21200013010313 is 31301031000212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19192880617024 + 2007132393289 = 4380968^2 + 1416733^2 .

It is a cyclic number.

It is not a de Polignac number, because 21200013010313 - 2¹⁶ = 21200012944777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21200013010291 and 21200013010300.

It is not a weakly prime, because it can be changed into another prime (21200013012313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600006505156 + 10600006505157.

It is an arithmetic number, because the mean of its divisors is an integer number (10600006505157).

Almost surely, 2^{21200013010313} is an apocalyptic number.

It is an amenable number.

21200013010313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200013010313 is an equidigital number, since it uses as much as digits as its factorization.

21200013010313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 21200013010313 its reverse (31301031000212), we get a palindrome (52501044010525).

The spelling of 21200013010313 in words is "twenty-one trillion, two hundred billion, thirteen million, ten thousand, three hundred thirteen".