101916413 has 2 divisors, whose sum is σ = 101916414. Its totient is φ = 101916412.

The previous prime is 101916383. The next prime is 101916433. The reversal of 101916413 is 314619101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73582084 + 28334329 = 8578^2 + 5323^2 .

It is an emirp because it is prime and its reverse (314619101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101916413 - 2⁶ = 101916349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101916433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50958206 + 50958207.

It is an arithmetic number, because the mean of its divisors is an integer number (50958207).

Almost surely, 2^101916413 is an apocalyptic number.

It is an amenable number.

101916413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101916413 is an equidigital number, since it uses as much as digits as its factorization.

101916413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 101916413 is about 10095.3659170929. The cubic root of 101916413 is about 467.1052085638.

The spelling of 101916413 in words is "one hundred one million, nine hundred sixteen thousand, four hundred thirteen".