103416206513 has 2 divisors, whose sum is σ = 103416206514. Its totient is φ = 103416206512.

The previous prime is 103416206501. The next prime is 103416206549. The reversal of 103416206513 is 315602614301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62014944784 + 41401261729 = 249028^2 + 203473^2 .

It is a cyclic number.

It is not a de Polignac number, because 103416206513 - 2⁴ = 103416206497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103416206513.

It is not a weakly prime, because it can be changed into another prime (103416236513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51708103256 + 51708103257.

It is an arithmetic number, because the mean of its divisors is an integer number (51708103257).

Almost surely, 2^103416206513 is an apocalyptic number.

It is an amenable number.

103416206513 is a deficient number, since it is larger than the sum of its proper divisors (1).

103416206513 is an equidigital number, since it uses as much as digits as its factorization.

103416206513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 103416206513 in words is "one hundred three billion, four hundred sixteen million, two hundred six thousand, five hundred thirteen".