3213000313 has 2 divisors, whose sum is σ = 3213000314. Its totient is φ = 3213000312.

The previous prime is 3213000269. The next prime is 3213000317. The reversal of 3213000313 is 3130003123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2731943824 + 481056489 = 52268^2 + 21933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3213000313 is a prime.

It is a super-3 number, since 3×3213000313³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (3213000317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1606500156 + 1606500157.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500157).

Almost surely, 2^3213000313 is an apocalyptic number.

It is an amenable number.

3213000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3213000313 is an equidigital number, since it uses as much as digits as its factorization.

3213000313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 3213000313 is about 56683.3336440263. Note that the first 3 decimals coincide. The cubic root of 3213000313 is about 1475.6054682538.

Adding to 3213000313 its reverse (3130003123), we get a palindrome (6343003436).

The spelling of 3213000313 in words is "three billion, two hundred thirteen million, three hundred thirteen", and thus it is an aban number.