83581007803101 has 6 divisors (see below), whose sum is σ = 120728122382270. Its totient is φ = 55720671868728.

The previous prime is 83581007803093. The next prime is 83581007803109. The reversal of 83581007803101 is 10130870018538.

It is an interprime number because it is at equal distance from previous prime (83581007803093) and next prime (83581007803109).

It can be written as a sum of positive squares in only one way, i.e., 43505764892100 + 40075242911001 = 6595890^2 + 6330501^2 .

It is not a de Polignac number, because 83581007803101 - 2³ = 83581007803093 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 (83581007803109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4643389322386 + ... + 4643389322403.

Almost surely, 2^{83581007803101} is an apocalyptic number.

It is an amenable number.

83581007803101 is a deficient number, since it is larger than the sum of its proper divisors (37147114579169).

83581007803101 is a wasteful number, since it uses less digits than its factorization.

83581007803101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286778644795 (or 9286778644792 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 83581007803101 in words is "eighty-three trillion, five hundred eighty-one billion, seven million, eight hundred three thousand, one hundred one".