82133101381 has 2 divisors, whose sum is σ = 82133101382. Its totient is φ = 82133101380.

The previous prime is 82133101339. The next prime is 82133101399. The reversal of 82133101381 is 18310133128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55056398881 + 27076702500 = 234641^2 + 164550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82133101381 is a prime.

It is a super-2 number, since 2×82133101381² (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 (82133101781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41066550690 + 41066550691.

It is an arithmetic number, because the mean of its divisors is an integer number (41066550691).

Almost surely, 2^82133101381 is an apocalyptic number.

It is an amenable number.

82133101381 is a deficient number, since it is larger than the sum of its proper divisors (1).

82133101381 is an equidigital number, since it uses as much as digits as its factorization.

82133101381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 82133101381 in words is "eighty-two billion, one hundred thirty-three million, one hundred one thousand, three hundred eighty-one".