| Base | Representation |
|---|---|
| bin | 10011000110001100011… |
| … | …100100001100101001100 |
| 3 | 11122110022221002000021210 |
| 4 | 103012030130201211030 |
| 5 | 133000113224004400 |
| 6 | 2442512212054420 |
| 7 | 163545355053120 |
| oct | 23061434414514 |
| 9 | 4573287060253 |
| 10 | 1312321313100 |
| 11 | 466609195086 |
| 12 | 192405904410 |
| 13 | 9699c9aca55 |
| 14 | 47733b27580 |
| 15 | 2420a9b4950 |
| hex | 1318c72194c |
1312321313100 has 144 divisors (see below), whose sum is σ = 4341109651200. Its totient is φ = 299841611520.
The previous prime is 1312321313071. The next prime is 1312321313101. The reversal of 1312321313100 is 13131232131.
It is a happy number.
It is a super-2 number, since 2×13123213131002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is not an unprimeable number, because it can be changed into a prime (1312321313101) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 5294746 + ... + 5537054.
It is an arithmetic number, because the mean of its divisors is an integer number (30146594800).
Almost surely, 21312321313100 is an apocalyptic number.
1312321313100 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 1312321313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170554825600).
1312321313100 is an abundant number, since it is smaller than the sum of its proper divisors (3028788338100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1312321313100 is a wasteful number, since it uses less digits than its factorization.
1312321313100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 244912 (or 244905 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 21.
Adding to 1312321313100 its reverse (13131232131), we get a palindrome (1325452545231).
The spelling of 1312321313100 in words is "one trillion, three hundred twelve billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred".
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