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13312001 is a prime number
BaseRepresentation
bin110010110010…
…000000000001
3221001022122002
4302302000001
511401441001
61153153345
7221102333
oct62620001
927038562
1013312001
11757255a
12455b855
1329b1231
141aa7453
15127e46b
hexcb2001

13312001 has 2 divisors, whose sum is σ = 13312002. Its totient is φ = 13312000.

The previous prime is 13311973. The next prime is 13312021. The reversal of 13312001 is 10021331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12673600 + 638401 = 3560^2 + 799^2 .

It is an emirp because it is prime and its reverse (10021331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13312001 - 26 = 13311937 is a prime.

It is not a weakly prime, because it can be changed into another prime (13312021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656000 + 6656001.

It is an arithmetic number, because the mean of its divisors is an integer number (6656001).

It is a Proth number, since it is equal to 1625 ⋅ 213 + 1 and 1625 < 213.

Almost surely, 213312001 is an apocalyptic number.

It is an amenable number.

13312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312001 is an equidigital number, since it uses as much as digits as its factorization.

13312001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13312001 is about 3648.5614973576. The cubic root of 13312001 is about 236.9996914071. Note that the first 3 decimals are identical.

Adding to 13312001 its reverse (10021331), we get a palindrome (23333332).

The spelling of 13312001 in words is "thirteen million, three hundred twelve thousand, one".