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2013331213 is a prime number
BaseRepresentation
bin111100000000000…
…1111111100001101
312012022102211012201
41320000033330031
513110403044323
6531440401501
7100615014205
oct17000177415
95168384181
102013331213
119435225a3
12482316291
1326116425a
14151569405
15bbb478ad
hex7800ff0d

2013331213 has 2 divisors, whose sum is σ = 2013331214. Its totient is φ = 2013331212.

The previous prime is 2013331171. The next prime is 2013331217. The reversal of 2013331213 is 3121333102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1549445769 + 463885444 = 39363^2 + 21538^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013331213 - 229 = 1476460301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013331217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006665606 + 1006665607.

It is an arithmetic number, because the mean of its divisors is an integer number (1006665607).

Almost surely, 22013331213 is an apocalyptic number.

It is an amenable number.

2013331213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013331213 is an equidigital number, since it uses as much as digits as its factorization.

2013331213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2013331213 is about 44870.1594938106. The cubic root of 2013331213 is about 1262.7142322854.

Adding to 2013331213 its reverse (3121333102), we get a palindrome (5134664315).

The spelling of 2013331213 in words is "two billion, thirteen million, three hundred thirty-one thousand, two hundred thirteen".