102223221133013 has 2 divisors, whose sum is σ = 102223221133014. Its totient is φ = 102223221133012.

The previous prime is 102223221132973. The next prime is 102223221133037. The reversal of 102223221133013 is 310331122322201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69299747674609 + 32923473458404 = 8324647^2 + 5737898^2 .

It is a cyclic number.

It is not a de Polignac number, because 102223221133013 - 2⁴⁶ = 31854476955349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102223221103013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111610566506 + 51111610566507.

It is an arithmetic number, because the mean of its divisors is an integer number (51111610566507).

Almost surely, 2^{102223221133013} is an apocalyptic number.

It is an amenable number.

102223221133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102223221133013 is an equidigital number, since it uses as much as digits as its factorization.

102223221133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 102223221133013 its reverse (310331122322201), we get a palindrome (412554343455214).

The spelling of 102223221133013 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred twenty-one million, one hundred thirty-three thousand, thirteen".