100516701013 has 2 divisors, whose sum is σ = 100516701014. Its totient is φ = 100516701012.

The previous prime is 100516700969. The next prime is 100516701071. The reversal of 100516701013 is 310107615001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63827980164 + 36688720849 = 252642^2 + 191543^2 .

It is a cyclic number.

It is not a de Polignac number, because 100516701013 - 2²⁹ = 99979830101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100516701113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50258350506 + 50258350507.

It is an arithmetic number, because the mean of its divisors is an integer number (50258350507).

Almost surely, 2^100516701013 is an apocalyptic number.

It is an amenable number.

100516701013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100516701013 is an equidigital number, since it uses as much as digits as its factorization.

100516701013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 25.

The spelling of 100516701013 in words is "one hundred billion, five hundred sixteen million, seven hundred one thousand, thirteen".