313121200349 has 2 divisors, whose sum is σ = 313121200350. Its totient is φ = 313121200348.

The previous prime is 313121200309. The next prime is 313121200361. The reversal of 313121200349 is 943002121313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298110540025 + 15010660324 = 545995^2 + 122518^2 .

It is a cyclic number.

It is not a de Polignac number, because 313121200349 - 2¹² = 313121196253 is a prime.

It is a super-2 number, since 2×313121200349² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313121200309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156560600174 + 156560600175.

It is an arithmetic number, because the mean of its divisors is an integer number (156560600175).

Almost surely, 2^313121200349 is an apocalyptic number.

It is an amenable number.

313121200349 is a deficient number, since it is larger than the sum of its proper divisors (1).

313121200349 is an equidigital number, since it uses as much as digits as its factorization.

313121200349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 313121200349 in words is "three hundred thirteen billion, one hundred twenty-one million, two hundred thousand, three hundred forty-nine".