82331213301 has 6 divisors (see below), whose sum is σ = 118922863670. Its totient is φ = 54887475528.

The previous prime is 82331213183. The next prime is 82331213323. The reversal of 82331213301 is 10331213328.

82331213301 is a `hidden beast` number, since 8 + 2 + 331 + 21 + 3 + 301 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73318559076 + 9012654225 = 270774^2 + 94935^2 .

It is not a de Polignac number, because 82331213301 - 2¹⁰ = 82331212277 is a prime.

It is a super-2 number, since 2×82331213301² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82331217301) 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, 4573956286 + ... + 4573956303.

Almost surely, 2^82331213301 is an apocalyptic number.

It is an amenable number.

82331213301 is a deficient number, since it is larger than the sum of its proper divisors (36591650369).

82331213301 is a wasteful number, since it uses less digits than its factorization.

82331213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147912595 (or 9147912592 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 82331213301 its sum of digits (27), we get a palindrome (82331213328).

Adding to 82331213301 its reverse (10331213328), we get a palindrome (92662426629).

The spelling of 82331213301 in words is "eighty-two billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred one".