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1013213321 is a prime number
BaseRepresentation
bin111100011001000…
…110100010001001
32121121112120101022
4330121012202021
54033340311241
6244312402225
734052112461
oct7431064211
92547476338
101013213321
1147aa2918a
122433a6375
13131bb5513
14987caba1
155de4154b
hex3c646889

1013213321 has 2 divisors, whose sum is σ = 1013213322. Its totient is φ = 1013213320.

The previous prime is 1013213303. The next prime is 1013213347. The reversal of 1013213321 is 1233123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 804006025 + 209207296 = 28355^2 + 14464^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013213321 - 222 = 1009019017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013213321.

It is not a weakly prime, because it can be changed into another prime (1013213351) 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, 506606660 + 506606661.

It is an arithmetic number, because the mean of its divisors is an integer number (506606661).

Almost surely, 21013213321 is an apocalyptic number.

It is an amenable number.

1013213321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013213321 is an equidigital number, since it uses as much as digits as its factorization.

1013213321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1013213321 is about 31831.0119380456. The cubic root of 1013213321 is about 1004.3851823999.

Adding to 1013213321 its reverse (1233123101), we get a palindrome (2246336422).

The spelling of 1013213321 in words is "one billion, thirteen million, two hundred thirteen thousand, three hundred twenty-one".