| Base | Representation |
|---|---|
| bin | 1111101001111… |
| … | …11010011110000 |
| 3 | 100011010022200200 |
| 4 | 13310333103300 |
| 5 | 232110100222 |
| 6 | 21010515200 |
| 7 | 3153204060 |
| oct | 764772360 |
| 9 | 304108620 |
| 10 | 131331312 |
| 11 | 68151182 |
| 12 | 37b95b00 |
| 13 | 21293748 |
| 14 | 136293a0 |
| 15 | b7e2eac |
| hex | 7d3f4f0 |
131331312 has 120 divisors (see below), whose sum is σ = 424136544. Its totient is φ = 37158912.
The previous prime is 131331293. The next prime is 131331329. The reversal of 131331312 is 213133131.
It is a happy number.
It is a super-3 number, since 3×1313313123 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113328 + ... + 114480.
Almost surely, 2131331312 is an apocalyptic number.
131331312 is a gapful number since it is divisible by the number (12) 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 131331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212068272).
131331312 is an abundant number, since it is smaller than the sum of its proper divisors (292805232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131331312 is a wasteful number, since it uses less digits than its factorization.
131331312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1287 (or 1278 counting only the distinct ones).
The product of its digits is 162, while the sum is 18.
The square root of 131331312 is about 11459.9874345481. The cubic root of 131331312 is about 508.3031030546.
Adding to 131331312 its reverse (213133131), we get a palindrome (344464443).
It can be divided in two parts, 13133131 and 2, that multiplied together give a palindrome (26266262).
The spelling of 131331312 in words is "one hundred thirty-one million, three hundred thirty-one thousand, three hundred twelve".
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