31311333313201 has 2 divisors, whose sum is σ = 31311333313202. Its totient is φ = 31311333313200.

The previous prime is 31311333313187. The next prime is 31311333313279. The reversal of 31311333313201 is 10231333311313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29191976761600 + 2119356551601 = 5402960^2 + 1455801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31311333313201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31311333313201.

It is not a weakly prime, because it can be changed into another prime (31311333313301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655666656600 + 15655666656601.

It is an arithmetic number, because the mean of its divisors is an integer number (15655666656601).

Almost surely, 2^{31311333313201} is an apocalyptic number.

It is an amenable number.

31311333313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31311333313201 is an equidigital number, since it uses as much as digits as its factorization.

31311333313201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 31311333313201 its reverse (10231333311313), we get a palindrome (41542666624514).

The spelling of 31311333313201 in words is "thirty-one trillion, three hundred eleven billion, three hundred thirty-three million, three hundred thirteen thousand, two hundred one".