10202230021013 has 2 divisors, whose sum is σ = 10202230021014. Its totient is φ = 10202230021012.

The previous prime is 10202230020989. The next prime is 10202230021103. The reversal of 10202230021013 is 31012003220201.

Together with next prime (10202230021103) 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., 8086840125169 + 2115389895844 = 2843737^2 + 1454438^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202230021013 - 2²⁰ = 10202228972437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202230020982 and 10202230021000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202230021913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101115010506 + 5101115010507.

It is an arithmetic number, because the mean of its divisors is an integer number (5101115010507).

Almost surely, 2^{10202230021013} is an apocalyptic number.

It is an amenable number.

10202230021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202230021013 is an equidigital number, since it uses as much as digits as its factorization.

10202230021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10202230021013 its reverse (31012003220201), we get a palindrome (41214233241214).

The spelling of 10202230021013 in words is "ten trillion, two hundred two billion, two hundred thirty million, twenty-one thousand, thirteen".