131112123000 has 128 divisors (see below), whose sum is σ = 409207818240. Its totient is φ = 34951440000.

The previous prime is 131112122993. The next prime is 131112123067. The reversal of 131112123000 is 321211131.

It is a happy number.

It is a super-3 number, since 3×131112123000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12327685 + ... + 12338315.

It is an arithmetic number, because the mean of its divisors is an integer number (3196936080).

Almost surely, 2^131112123000 is an apocalyptic number.

131112123000 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 131112123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204603909120).

131112123000 is an abundant number, since it is smaller than the sum of its proper divisors (278095695240).

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

131112123000 is a wasteful number, since it uses less digits than its factorization.

131112123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14766 (or 14752 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131112123000 its reverse (321211131), we get a palindrome (131433334131).

The spelling of 131112123000 in words is "one hundred thirty-one billion, one hundred twelve million, one hundred twenty-three thousand".