10022010210013 has 2 divisors, whose sum is σ = 10022010210014. Its totient is φ = 10022010210012.

The previous prime is 10022010209987. The next prime is 10022010210031. The reversal of 10022010210013 is 31001201022001.

Together with next prime (10022010210031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9943944173604 + 78066036409 = 3153402^2 + 279403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10022010210013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022010209975 and 10022010210002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022010210413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011005105006 + 5011005105007.

It is an arithmetic number, because the mean of its divisors is an integer number (5011005105007).

Almost surely, 2^{10022010210013} is an apocalyptic number.

It is an amenable number.

10022010210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022010210013 is an equidigital number, since it uses as much as digits as its factorization.

10022010210013 is an evil number, because the sum of its binary digits is even.

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

Adding to 10022010210013 its reverse (31001201022001), we get a palindrome (41023211232014).

The spelling of 10022010210013 in words is "ten trillion, twenty-two billion, ten million, two hundred ten thousand, thirteen".