31113003300361 has 2 divisors, whose sum is σ = 31113003300362. Its totient is φ = 31113003300360.

The previous prime is 31113003300299. The next prime is 31113003300371. The reversal of 31113003300361 is 16300330031113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27450851294736 + 3662152005625 = 5239356^2 + 1913675^2 .

It is a cyclic number.

It is not a de Polignac number, because 31113003300361 - 2²¹ = 31113001203209 is a prime.

It is not a weakly prime, because it can be changed into another prime (31113003300371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15556501650180 + 15556501650181.

It is an arithmetic number, because the mean of its divisors is an integer number (15556501650181).

Almost surely, 2^{31113003300361} is an apocalyptic number.

It is an amenable number.

31113003300361 is a deficient number, since it is larger than the sum of its proper divisors (1).

31113003300361 is an equidigital number, since it uses as much as digits as its factorization.

31113003300361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 31113003300361 its reverse (16300330031113), we get a palindrome (47413333331474).

The spelling of 31113003300361 in words is "thirty-one trillion, one hundred thirteen billion, three million, three hundred thousand, three hundred sixty-one".