102221201331013 has 2 divisors, whose sum is σ = 102221201331014. Its totient is φ = 102221201331012.

The previous prime is 102221201330999. The next prime is 102221201331049. The reversal of 102221201331013 is 310133102122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102212443740289 + 8757590724 = 10110017^2 + 93582^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221201331013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221201331313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110600665506 + 51110600665507.

It is an arithmetic number, because the mean of its divisors is an integer number (51110600665507).

Almost surely, 2^{102221201331013} is an apocalyptic number.

It is an amenable number.

102221201331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221201331013 is an equidigital number, since it uses as much as digits as its factorization.

102221201331013 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 102221201331013 its reverse (310133102122201), we get a palindrome (412354303453214).

The spelling of 102221201331013 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred one million, three hundred thirty-one thousand, thirteen".