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3131323213 is a prime number
BaseRepresentation
bin1011101010100100…
…0011001101001101
322002020010200220211
42322221003031031
522403104320323
61234415042421
7140411544124
oct27251031515
98066120824
103131323213
111367606527
12734810411
133ab974395
14219c2cabb
15134d8470d
hexbaa4334d

3131323213 has 2 divisors, whose sum is σ = 3131323214. Its totient is φ = 3131323212.

The previous prime is 3131323207. The next prime is 3131323243. The reversal of 3131323213 is 3123231313.

3131323213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2647411209 + 483912004 = 51453^2 + 21998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3131323213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131323243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565661606 + 1565661607.

It is an arithmetic number, because the mean of its divisors is an integer number (1565661607).

Almost surely, 23131323213 is an apocalyptic number.

It is an amenable number.

3131323213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131323213 is an equidigital number, since it uses as much as digits as its factorization.

3131323213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 22.

The square root of 3131323213 is about 55958.2273932976. The cubic root of 3131323213 is about 1462.9942947310.

Adding to 3131323213 its reverse (3123231313), we get a palindrome (6254554526).

The spelling of 3131323213 in words is "three billion, one hundred thirty-one million, three hundred twenty-three thousand, two hundred thirteen".