82133101801 has 2 divisors, whose sum is σ = 82133101802. Its totient is φ = 82133101800.

The previous prime is 82133101781. The next prime is 82133101819. The reversal of 82133101801 is 10810133128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81956238400 + 176863401 = 286280^2 + 13299^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82133101801 is a prime.

It is a super-2 number, since 2×82133101801² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82133101801.

It is not a weakly prime, because it can be changed into another prime (82133101871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41066550900 + 41066550901.

It is an arithmetic number, because the mean of its divisors is an integer number (41066550901).

Almost surely, 2^82133101801 is an apocalyptic number.

It is an amenable number.

82133101801 is a deficient number, since it is larger than the sum of its proper divisors (1).

82133101801 is an equidigital number, since it uses as much as digits as its factorization.

82133101801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 82133101801 its reverse (10810133128), we get a palindrome (92943234929).

The spelling of 82133101801 in words is "eighty-two billion, one hundred thirty-three million, one hundred one thousand, eight hundred one".