| Base | Representation |
|---|---|
| bin | 11101101000010011101000… |
| … | …110001110001000111101000 |
| 3 | 122002101211011212202102000210 |
| 4 | 131220103220301301013220 |
| 5 | 114040022430024333000 |
| 6 | 1141053021430101120 |
| 7 | 36306550621254600 |
| oct | 3550235061610750 |
| 9 | 562354155672023 |
| 10 | 130313213121000 |
| 11 | 38581583603938 |
| 12 | 127476a74aa7a0 |
| 13 | 5793638985090 |
| 14 | 242729c0a5c00 |
| 15 | 100eb2bc56350 |
| hex | 7684e8c711e8 |
130313213121000 has 768 divisors, whose sum is σ = 523104690850560. Its totient is φ = 26751542630400.
The previous prime is 130313213120999. The next prime is 130313213121001. The reversal of 130313213121000 is 121312313031.
It is a happy number.
130313213121000 is digitally balanced in base 3, 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 (130313213120999) and next prime (130313213121001).
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 (130313213121001) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69785499 + ... + 71628501.
It is an arithmetic number, because the mean of its divisors is an integer number (681125899545).
Almost surely, 2130313213121000 is an apocalyptic number.
130313213121000 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 130313213121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261552345425280).
130313213121000 is an abundant number, since it is smaller than the sum of its proper divisors (392791477729560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130313213121000 is a wasteful number, since it uses less digits than its factorization.
130313213121000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1843091 (or 1843070 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 21.
Adding to 130313213121000 its reverse (121312313031), we get a palindrome (130434525434031).
The spelling of 130313213121000 in words is "one hundred thirty trillion, three hundred thirteen billion, two hundred thirteen million, one hundred twenty-one thousand".
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