101613973 has 2 divisors, whose sum is σ = 101613974. Its totient is φ = 101613972.

The previous prime is 101613917. The next prime is 101613991. The reversal of 101613973 is 379316101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99560484 + 2053489 = 9978^2 + 1433^2 .

It is an emirp because it is prime and its reverse (379316101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101613973 - 2⁹ = 101613461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101613073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50806986 + 50806987.

It is an arithmetic number, because the mean of its divisors is an integer number (50806987).

Almost surely, 2^101613973 is an apocalyptic number.

It is an amenable number.

101613973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101613973 is an equidigital number, since it uses as much as digits as its factorization.

101613973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 101613973 is about 10080.3756378421. The cubic root of 101613973 is about 466.6427012069.

The spelling of 101613973 in words is "one hundred one million, six hundred thirteen thousand, nine hundred seventy-three".