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320101013 is a prime number
BaseRepresentation
bin10011000101000…
…101101010010101
3211022022211001002
4103011011222111
51123421213023
651432513045
710634546051
oct2305055225
9738284032
10320101013
111547636a1
128b24b785
13514181ab
1430726c61
151d17eb28
hex13145a95

320101013 has 2 divisors, whose sum is σ = 320101014. Its totient is φ = 320101012.

The previous prime is 320101003. The next prime is 320101027. The reversal of 320101013 is 310101023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186513649 + 133587364 = 13657^2 + 11558^2 .

It is an emirp because it is prime and its reverse (310101023) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 320101013 - 24 = 320100997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320100985 and 320101003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (320101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160050506 + 160050507.

It is an arithmetic number, because the mean of its divisors is an integer number (160050507).

Almost surely, 2320101013 is an apocalyptic number.

It is an amenable number.

320101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

320101013 is an equidigital number, since it uses as much as digits as its factorization.

320101013 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 320101013 is about 17891.3669964036. The cubic root of 320101013 is about 684.0623418492.

Adding to 320101013 its reverse (310101023), we get a palindrome (630202036).

It can be divided in two parts, 3201010 and 13, that added together give a palindrome (3201023).

The spelling of 320101013 in words is "three hundred twenty million, one hundred one thousand, thirteen".