101164313273519 has 2 divisors, whose sum is σ = 101164313273520. Its totient is φ = 101164313273518.

The previous prime is 101164313273489. The next prime is 101164313273521. The reversal of 101164313273519 is 915372313461101.

It is a strong prime.

It is an emirp because it is prime and its reverse (915372313461101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101164313273519 is a prime.

It is a super-2 number, since 2×101164313273519² (a number of 29 digits) contains 22 as substring.

Together with 101164313273521, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101164313273599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50582156636759 + 50582156636760.

It is an arithmetic number, because the mean of its divisors is an integer number (50582156636760).

Almost surely, 2^{101164313273519} is an apocalyptic number.

101164313273519 is a deficient number, since it is larger than the sum of its proper divisors (1).

101164313273519 is an equidigital number, since it uses as much as digits as its factorization.

101164313273519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 101164313273519 in words is "one hundred one trillion, one hundred sixty-four billion, three hundred thirteen million, two hundred seventy-three thousand, five hundred nineteen".