83130447408101 has 16 divisors (see below), whose sum is σ = 84546072802800. Its totient is φ = 81726515619840.

The previous prime is 83130447408059. The next prime is 83130447408103. The reversal of 83130447408101 is 10180474403138.

It is a Cunningham number, because it is equal to 9117590²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 12520458557476 + 70609988850625 = 3538426^2 + 8402975^2 .

It is a cyclic number.

It is not a de Polignac number, because 83130447408101 - 2⁶ = 83130447408037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83130447408103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53772875 + ... + 55297223.

It is an arithmetic number, because the mean of its divisors is an integer number (5284129550175).

Almost surely, 2^{83130447408101} is an apocalyptic number.

It is an amenable number.

83130447408101 is a deficient number, since it is larger than the sum of its proper divisors (1415625394699).

83130447408101 is a wasteful number, since it uses less digits than its factorization.

83130447408101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528184.

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 83130447408101 in words is "eighty-three trillion, one hundred thirty billion, four hundred forty-seven million, four hundred eight thousand, one hundred one".