31012200013 has 2 divisors, whose sum is σ = 31012200014. Its totient is φ = 31012200012.

The previous prime is 31012199989. The next prime is 31012200047. The reversal of 31012200013 is 31000221013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24624514084 + 6387685929 = 156922^2 + 79923^2 .

It is an emirp because it is prime and its reverse (31000221013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31012200013 - 2⁹ = 31012199501 is a prime.

It is a super-3 number, since 3×31012200013³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31012199966 and 31012200002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31012200313) 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, 15506100006 + 15506100007.

It is an arithmetic number, because the mean of its divisors is an integer number (15506100007).

Almost surely, 2^31012200013 is an apocalyptic number.

It is an amenable number.

31012200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31012200013 is an equidigital number, since it uses as much as digits as its factorization.

31012200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31012200013 its reverse (31000221013), we get a palindrome (62012421026).

The spelling of 31012200013 in words is "thirty-one billion, twelve million, two hundred thousand, thirteen".