291312013 has 2 divisors, whose sum is σ = 291312014. Its totient is φ = 291312012.

The previous prime is 291311959. The next prime is 291312019. The reversal of 291312013 is 310213192.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231435369 + 59876644 = 15213^2 + 7738^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-291312013 is a prime.

It is a super-3 number, since 3×291312013³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (291312019) 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, 145656006 + 145656007.

It is an arithmetic number, because the mean of its divisors is an integer number (145656007).

Almost surely, 2^291312013 is an apocalyptic number.

It is an amenable number.

291312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

291312013 is an equidigital number, since it uses as much as digits as its factorization.

291312013 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 22.

The square root of 291312013 is about 17067.8649221278. The cubic root of 291312013 is about 662.9072947264.

The spelling of 291312013 in words is "two hundred ninety-one million, three hundred twelve thousand, thirteen".