31331221301 has 2 divisors, whose sum is σ = 31331221302. Its totient is φ = 31331221300.

The previous prime is 31331221261. The next prime is 31331221303. The reversal of 31331221301 is 10312213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31249047076 + 82174225 = 176774^2 + 9065^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331221301 - 2⁶ = 31331221237 is a prime.

It is a super-2 number, since 2×31331221301² (a number of 22 digits) contains 22 as substring.

Together with 31331221303, 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 (31331221303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665610650 + 15665610651.

It is an arithmetic number, because the mean of its divisors is an integer number (15665610651).

Almost surely, 2^31331221301 is an apocalyptic number.

It is an amenable number.

31331221301 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331221301 is an equidigital number, since it uses as much as digits as its factorization.

31331221301 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 20.

Adding to 31331221301 its reverse (10312213313), we get a palindrome (41643434614).

The spelling of 31331221301 in words is "thirty-one billion, three hundred thirty-one million, two hundred twenty-one thousand, three hundred one".