101413404073 has 2 divisors, whose sum is σ = 101413404074. Its totient is φ = 101413404072.

The previous prime is 101413404031. The next prime is 101413404109. The reversal of 101413404073 is 370404314101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62964861184 + 38448542889 = 250928^2 + 196083^2 .

It is an emirp because it is prime and its reverse (370404314101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101413404073 - 2⁹ = 101413403561 is a prime.

It is not a weakly prime, because it can be changed into another prime (101413401073) 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, 50706702036 + 50706702037.

It is an arithmetic number, because the mean of its divisors is an integer number (50706702037).

Almost surely, 2^101413404073 is an apocalyptic number.

It is an amenable number.

101413404073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101413404073 is an equidigital number, since it uses as much as digits as its factorization.

101413404073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 101413404073 its reverse (370404314101), we get a palindrome (471817718174).

The spelling of 101413404073 in words is "one hundred one billion, four hundred thirteen million, four hundred four thousand, seventy-three".