6681322131 has 32 divisors (see below), whose sum is σ = 9996860160. Its totient is φ = 3934819200.

The previous prime is 6681322103. The next prime is 6681322147. The reversal of 6681322131 is 1312231866.

It is not a de Polignac number, because 6681322131 - 2¹¹ = 6681320083 is a prime.

It is a super-2 number, since 2×6681322131² = 89280130836380762322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6681322092 and 6681322101.

It is not an unprimeable number, because it can be changed into a prime (6681322171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147085 + ... + 187073.

It is an arithmetic number, because the mean of its divisors is an integer number (312401880).

Almost surely, 2^6681322131 is an apocalyptic number.

6681322131 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

6681322131 is a deficient number, since it is larger than the sum of its proper divisors (3315538029).

6681322131 is a wasteful number, since it uses less digits than its factorization.

6681322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40147.

The product of its digits is 10368, while the sum is 33.

The square root of 6681322131 is about 81739.3548482003. The cubic root of 6681322131 is about 1883.4501803993.

Adding to 6681322131 its reverse (1312231866), we get a palindrome (7993553997).

The spelling of 6681322131 in words is "six billion, six hundred eighty-one million, three hundred twenty-two thousand, one hundred thirty-one".