82133101781 has 2 divisors, whose sum is σ = 82133101782. Its totient is φ = 82133101780.

The previous prime is 82133101693. The next prime is 82133101801. The reversal of 82133101781 is 18710133128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48414961156 + 33718140625 = 220034^2 + 183625^2 .

It is a cyclic number.

It is not a de Polignac number, because 82133101781 - 2¹⁰ = 82133100757 is a prime.

It is a super-2 number, since 2×82133101781² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82133101381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41066550890 + 41066550891.

It is an arithmetic number, because the mean of its divisors is an integer number (41066550891).

Almost surely, 2^82133101781 is an apocalyptic number.

It is an amenable number.

82133101781 is a deficient number, since it is larger than the sum of its proper divisors (1).

82133101781 is an equidigital number, since it uses as much as digits as its factorization.

82133101781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 82133101781 in words is "eighty-two billion, one hundred thirty-three million, one hundred one thousand, seven hundred eighty-one".