82121162913 has 12 divisors (see below), whose sum is σ = 121512615588. Its totient is φ = 53412138240.

The previous prime is 82121162899. The next prime is 82121162983. The reversal of 82121162913 is 31926112128.

82121162913 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 11 + 629 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9454256289 + 72666906624 = 97233^2 + 269568^2 .

It is not a de Polignac number, because 82121162913 - 2⁸ = 82121162657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82121162983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111274920 + ... + 111275657.

It is an arithmetic number, because the mean of its divisors is an integer number (10126051299).

Almost surely, 2^82121162913 is an apocalyptic number.

It is an amenable number.

82121162913 is a deficient number, since it is larger than the sum of its proper divisors (39391452675).

82121162913 is a wasteful number, since it uses less digits than its factorization.

82121162913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222550624 (or 222550621 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 82121162913 in words is "eighty-two billion, one hundred twenty-one million, one hundred sixty-two thousand, nine hundred thirteen".