31313121097 has 2 divisors, whose sum is σ = 31313121098. Its totient is φ = 31313121096.

The previous prime is 31313121079. The next prime is 31313121109. The reversal of 31313121097 is 79012131313.

Together with previous prime (31313121079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19314328576 + 11998792521 = 138976^2 + 109539^2 .

It is a cyclic number.

It is not a de Polignac number, because 31313121097 - 2²⁷ = 31178903369 is a prime.

It is not a weakly prime, because it can be changed into another prime (31313121197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656560548 + 15656560549.

It is an arithmetic number, because the mean of its divisors is an integer number (15656560549).

Almost surely, 2^31313121097 is an apocalyptic number.

It is an amenable number.

31313121097 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313121097 is an equidigital number, since it uses as much as digits as its factorization.

31313121097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 31.

The spelling of 31313121097 in words is "thirty-one billion, three hundred thirteen million, one hundred twenty-one thousand, ninety-seven".