102055540450013 has 2 divisors, whose sum is σ = 102055540450014. Its totient is φ = 102055540450012.

The previous prime is 102055540450001. The next prime is 102055540450057. The reversal of 102055540450013 is 310054045550201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87182500842649 + 14873039607364 = 9337157^2 + 3856558^2 .

It is a cyclic number.

It is not a de Polignac number, because 102055540450013 - 2³⁴ = 102038360580829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102055540450063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51027770225006 + 51027770225007.

It is an arithmetic number, because the mean of its divisors is an integer number (51027770225007).

Almost surely, 2^{102055540450013} is an apocalyptic number.

It is an amenable number.

102055540450013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102055540450013 is an equidigital number, since it uses as much as digits as its factorization.

102055540450013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 102055540450013 in words is "one hundred two trillion, fifty-five billion, five hundred forty million, four hundred fifty thousand, thirteen".