| Base | Representation |
|---|---|
| bin | 100111001000111… |
| … | …1000010100110000 |
| 3 | 10101112020001122010 |
| 4 | 1032101320110300 |
| 5 | 10142201410000 |
| 6 | 334152442520 |
| 7 | 44354644062 |
| oct | 11621702460 |
| 9 | 3345201563 |
| 10 | 1313310000 |
| 11 | 614369272 |
| 12 | 3079a9440 |
| 13 | 17c118312 |
| 14 | c65c7732 |
| 15 | 7a46dd50 |
| hex | 4e478530 |
1313310000 has 100 divisors (see below), whose sum is σ = 4239636632. Its totient is φ = 350208000.
The previous prime is 1313309971. The next prime is 1313310029. The reversal of 1313310000 is 133131.
It is an interprime number because it is at equal distance from previous prime (1313309971) and next prime (1313310029).
It is a tau number, because it is divible by the number of its divisors (100).
It is a super-2 number, since 2×13133100002 = 3449566312200000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
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 19 ways as a sum of consecutive naturals, for example, 8112 + ... + 51888.
Almost surely, 21313310000 is an apocalyptic number.
1313310000 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 1313310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119818316).
1313310000 is an abundant number, since it is smaller than the sum of its proper divisors (2926326632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1313310000 is an equidigital number, since it uses as much as digits as its factorization.
1313310000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43808 (or 43787 counting only the distinct ones).
The product of its (nonzero) digits is 27, while the sum is 12.
The square root of 1313310000 is about 36239.6192032974. The cubic root of 1313310000 is about 1095.1049710672.
Adding to 1313310000 its reverse (133131), we get a palindrome (1313443131).
The spelling of 1313310000 in words is "one billion, three hundred thirteen million, three hundred ten thousand".
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