| Base | Representation |
|---|---|
| bin | 10011000101010000110… |
| … | …100101011101100011100 |
| 3 | 11122100202012211111112200 |
| 4 | 103011100310223230130 |
| 5 | 132441041134404040 |
| 6 | 2442225040131500 |
| 7 | 163511520462264 |
| oct | 23052064535434 |
| 9 | 4570665744480 |
| 10 | 1311321013020 |
| 11 | 4661455868a7 |
| 12 | 192186906b90 |
| 13 | 96870699105 |
| 14 | 4767ad3c7a4 |
| 15 | 2419cc74630 |
| hex | 13150d2bb1c |
1311321013020 has 144 divisors (see below), whose sum is σ = 4089595124160. Its totient is φ = 339866800128.
The previous prime is 1311321013019. The next prime is 1311321013049. The reversal of 1311321013020 is 203101231131.
1311321013020 is a `hidden beast` number, since 1 + 311 + 321 + 0 + 1 + 30 + 2 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1311321012984 and 1311321013002.
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 47 ways as a sum of consecutive naturals, for example, 6081169 + ... + 6293111.
It is an arithmetic number, because the mean of its divisors is an integer number (28399966140).
Almost surely, 21311321013020 is an apocalyptic number.
1311321013020 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 1311321013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044797562080).
1311321013020 is an abundant number, since it is smaller than the sum of its proper divisors (2778274111140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1311321013020 is a wasteful number, since it uses less digits than its factorization.
1311321013020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212924 (or 212919 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 1311321013020 its reverse (203101231131), we get a palindrome (1514422244151).
The spelling of 1311321013020 in words is "one trillion, three hundred eleven billion, three hundred twenty-one million, thirteen thousand, twenty".
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