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12141333313 is a prime number
BaseRepresentation
bin10110100111010111…
…00000101101000001
31011100011001122012121
423103223200231001
5144331140131223
65324434524241
7606605426134
oct132353405501
934304048177
1012141333313
11517051446a
12242a136681
1311b651a9c5
148326cc21b
154b0d8c15d
hex2d3ae0b41

12141333313 has 2 divisors, whose sum is σ = 12141333314. Its totient is φ = 12141333312.

The previous prime is 12141333307. The next prime is 12141333329. The reversal of 12141333313 is 31333314121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9480527424 + 2660805889 = 97368^2 + 51583^2 .

It is an emirp because it is prime and its reverse (31333314121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12141333313 is a prime.

It is a super-3 number, since 3×121413333133 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12141333383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6070666656 + 6070666657.

It is an arithmetic number, because the mean of its divisors is an integer number (6070666657).

Almost surely, 212141333313 is an apocalyptic number.

It is an amenable number.

12141333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12141333313 is an equidigital number, since it uses as much as digits as its factorization.

12141333313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 25.

Adding to 12141333313 its reverse (31333314121), we get a palindrome (43474647434).

The spelling of 12141333313 in words is "twelve billion, one hundred forty-one million, three hundred thirty-three thousand, three hundred thirteen".