31020220221113 has 2 divisors, whose sum is σ = 31020220221114. Its totient is φ = 31020220221112.

The previous prime is 31020220221077. The next prime is 31020220221119. The reversal of 31020220221113 is 31112202202013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30148093969984 + 872126251129 = 5490728^2 + 933877^2 .

It is a cyclic number.

It is not a de Polignac number, because 31020220221113 - 2¹⁰ = 31020220220089 is a prime.

It is a super-2 number, since 2×31020220221113² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31020220221119) 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, 15510110110556 + 15510110110557.

It is an arithmetic number, because the mean of its divisors is an integer number (15510110110557).

Almost surely, 2^{31020220221113} is an apocalyptic number.

It is an amenable number.

31020220221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31020220221113 is an equidigital number, since it uses as much as digits as its factorization.

31020220221113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31020220221113 its reverse (31112202202013), we get a palindrome (62132422423126).

The spelling of 31020220221113 in words is "thirty-one trillion, twenty billion, two hundred twenty million, two hundred twenty-one thousand, one hundred thirteen".