| Base | Representation |
|---|---|
| bin | 11000011101010110… |
| … | …01011010001111110 |
| 3 | 1020220010111001122120 |
| 4 | 30032223023101332 |
| 5 | 203343030220220 |
| 6 | 10010553023410 |
| 7 | 643254343125 |
| oct | 141653132176 |
| 9 | 36803431576 |
| 10 | 13131101310 |
| 11 | 5629189848 |
| 12 | 26656b4b66 |
| 13 | 13135b4842 |
| 14 | 8c7d34abc |
| 15 | 51cbeba40 |
| hex | 30eacb47e |
13131101310 has 64 divisors (see below), whose sum is σ = 32399142912. Its totient is φ = 3403541376.
The previous prime is 13131101297. The next prime is 13131101323. The reversal of 13131101310 is 1310113131.
It is an interprime number because it is at equal distance from previous prime (13131101297) and next prime (13131101323).
It is a super-2 number, since 2×131311013102 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 13131101310.
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 31 ways as a sum of consecutive naturals, for example, 1201129 + ... + 1212011.
It is an arithmetic number, because the mean of its divisors is an integer number (506236608).
Almost surely, 213131101310 is an apocalyptic number.
13131101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 13131101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199571456).
13131101310 is an abundant number, since it is smaller than the sum of its proper divisors (19268041602).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13131101310 is a wasteful number, since it uses less digits than its factorization.
13131101310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12017.
The product of its (nonzero) digits is 27, while the sum is 15.
Adding to 13131101310 its reverse (1310113131), we get a palindrome (14441214441).
The spelling of 13131101310 in words is "thirteen billion, one hundred thirty-one million, one hundred one thousand, three hundred ten".
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