131133113112 has 64 divisors (see below), whose sum is σ = 347842252800. Its totient is φ = 41053852160.

The previous prime is 131133113107. The next prime is 131133113149. The reversal of 131133113112 is 211311331131.

It is a super-4 number, since 4×131133113112⁴ (a number of 46 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140064 + ... + 530927.

It is an arithmetic number, because the mean of its divisors is an integer number (5435035200).

Almost surely, 2^131133113112 is an apocalyptic number.

131133113112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131133113112 is an abundant number, since it is smaller than the sum of its proper divisors (216709139688).

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

131133113112 is a wasteful number, since it uses less digits than its factorization.

131133113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671496 (or 671492 counting only the distinct ones).

The product of its digits is 162, while the sum is 21.

Adding to 131133113112 its reverse (211311331131), we get a palindrome (342444444243).

The spelling of 131133113112 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twelve".