83131132303311 has 16 divisors (see below), whose sum is σ = 112724228699520. Its totient is φ = 54479462876640.

The previous prime is 83131132303277. The next prime is 83131132303361. The reversal of 83131132303311 is 11330323113138.

It is not a de Polignac number, because 83131132303311 - 2⁷ = 83131132303183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83131132303361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3486820 + ... + 13357401.

It is an arithmetic number, because the mean of its divisors is an integer number (7045264293720).

Almost surely, 2^{83131132303311} is an apocalyptic number.

83131132303311 is a deficient number, since it is larger than the sum of its proper divisors (29593096396209).

83131132303311 is a wasteful number, since it uses less digits than its factorization.

83131132303311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16872166.

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 83131132303311 its reverse (11330323113138), we get a palindrome (94461455416449).

The spelling of 83131132303311 in words is "eighty-three trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred three thousand, three hundred eleven".