83111311311138 has 48 divisors (see below), whose sum is σ = 196445800133856. Its totient is φ = 25185132712320.

The previous prime is 83111311311101. The next prime is 83111311311173.

83111311311138 is a `hidden beast` number, since 8 + 3 + 1 + 11 + 311 + 311 + 13 + 8 = 666.

83111311311138 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50243770 + ... + 51871562.

It is an arithmetic number, because the mean of its divisors is an integer number (4092620836122).

Almost surely, 2^{83111311311138} is an apocalyptic number.

83111311311138 is an abundant number, since it is smaller than the sum of its proper divisors (113334488822718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83111311311138 is a wasteful number, since it uses less digits than its factorization.

83111311311138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885679 (or 1885676 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

It can be divided in two parts, 8311131 and 1311138, that added together give a palindrome (9622269).

The spelling of 83111311311138 in words is "eighty-three trillion, one hundred eleven billion, three hundred eleven million, three hundred eleven thousand, one hundred thirty-eight".