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23001313 is a prime number
BaseRepresentation
bin101011110111…
…1100011100001
31121021120212111
41113233203201
521342020223
62140555321
7366336136
oct127574341
947246774
1023001313
1111a90255
127852b41
1349c455a
1430aa58d
15204530d
hex15ef8e1

23001313 has 2 divisors, whose sum is σ = 23001314. Its totient is φ = 23001312.

The previous prime is 23001271. The next prime is 23001337. The reversal of 23001313 is 31310032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19421649 + 3579664 = 4407^2 + 1892^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23001313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23001293 and 23001302.

It is not a weakly prime, because it can be changed into another prime (23001353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11500656 + 11500657.

It is an arithmetic number, because the mean of its divisors is an integer number (11500657).

Almost surely, 223001313 is an apocalyptic number.

It is an amenable number.

23001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23001313 is an equidigital number, since it uses as much as digits as its factorization.

23001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 23001313 is about 4795.9684110719. The cubic root of 23001313 is about 284.3921094725.

Adding to 23001313 its reverse (31310032), we get a palindrome (54311345).

The spelling of 23001313 in words is "twenty-three million, one thousand, three hundred thirteen".