| Base | Representation |
|---|---|
| bin | 100001101101011… |
| … | …1011000110110001 |
| 3 | 2220211102102110100 |
| 4 | 1003122323012301 |
| 5 | 4304032200223 |
| 6 | 304124023013 |
| 7 | 40013312634 |
| oct | 10332730661 |
| 9 | 2824372410 |
| 10 | 1131131313 |
| 11 | 530548774 |
| 12 | 276991a69 |
| 13 | 150460890 |
| 14 | aa323c1b |
| 15 | 69485043 |
| hex | 436bb1b1 |
1131131313 has 48 divisors (see below), whose sum is σ = 1860768000. Its totient is φ = 656377344.
The previous prime is 1131131299. The next prime is 1131131327. The reversal of 1131131313 is 3131311311.
1131131313 is a `hidden beast` number, since 11 + 311 + 31 + 313 = 666.
1131131313 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1131131299) and next prime (1131131327).
It is not a de Polignac number, because 1131131313 - 213 = 1131123121 is a prime.
It is a nude number because it is divisible by every one of its digits.
1131131313 is a modest number, since divided by 131313 gives 1131 as remainder.
It is not an unprimeable number, because it can be changed into a prime (1131131333) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530233 + ... + 532361.
It is an arithmetic number, because the mean of its divisors is an integer number (38766000).
Almost surely, 21131131313 is an apocalyptic number.
1131131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
It is an amenable number.
1131131313 is a deficient number, since it is larger than the sum of its proper divisors (729636687).
1131131313 is a wasteful number, since it uses less digits than its factorization.
1131131313 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2406 (or 2403 counting only the distinct ones).
The product of its digits is 81, while the sum is 18.
The square root of 1131131313 is about 33632.2956843567. The cubic root of 1131131313 is about 1041.9279182703.
Adding to 1131131313 its reverse (3131311311), we get a palindrome (4262442624).
It can be divided in two parts, 11311 and 31313, that added together give a palindrome (42624).
The spelling of 1131131313 in words is "one billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred thirteen".
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