131112000 has 224 divisors, whose sum is σ = 481827840. Its totient is φ = 34905600.

The previous prime is 131111993. The next prime is 131112001. The reversal of 131112000 is 211131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (131112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215697 + ... + 216303.

Almost surely, 2^131112000 is an apocalyptic number.

131112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240913920).

131112000 is an abundant number, since it is smaller than the sum of its proper divisors (350715840).

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

131112000 is an equidigital number, since it uses as much as digits as its factorization.

131112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131112000 is about 11450.4148396466. The cubic root of 131112000 is about 508.0200045856.

Adding to 131112000 its reverse (211131), we get a palindrome (131323131).

The spelling of 131112000 in words is "one hundred thirty-one million, one hundred twelve thousand".