313133031221 has 2 divisors, whose sum is σ = 313133031222. Its totient is φ = 313133031220.

The previous prime is 313133031203. The next prime is 313133031223. The reversal of 313133031221 is 122130331313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298455708721 + 14677322500 = 546311^2 + 121150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313133031221 is a prime.

Together with 313133031223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313133031223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156566515610 + 156566515611.

It is an arithmetic number, because the mean of its divisors is an integer number (156566515611).

Almost surely, 2^313133031221 is an apocalyptic number.

It is an amenable number.

313133031221 is a deficient number, since it is larger than the sum of its proper divisors (1).

313133031221 is an equidigital number, since it uses as much as digits as its factorization.

313133031221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 313133031221 its reverse (122130331313), we get a palindrome (435263362534).

The spelling of 313133031221 in words is "three hundred thirteen billion, one hundred thirty-three million, thirty-one thousand, two hundred twenty-one".