31213313111333 has 2 divisors, whose sum is σ = 31213313111334. Its totient is φ = 31213313111332.

The previous prime is 31213313111291. The next prime is 31213313111353. The reversal of 31213313111333 is 33311131331213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28611779604004 + 2601533507329 = 5348998^2 + 1612927^2 .

It is an emirp because it is prime and its reverse (33311131331213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31213313111333 - 2¹² = 31213313107237 is a prime.

It is a super-2 number, since 2×31213313111333² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31213313111296 and 31213313111305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31213313111353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606656555666 + 15606656555667.

It is an arithmetic number, because the mean of its divisors is an integer number (15606656555667).

Almost surely, 2^{31213313111333} is an apocalyptic number.

It is an amenable number.

31213313111333 is a deficient number, since it is larger than the sum of its proper divisors (1).

31213313111333 is an equidigital number, since it uses as much as digits as its factorization.

31213313111333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4374, while the sum is 29.

Adding to 31213313111333 its reverse (33311131331213), we get a palindrome (64524444442546).

The spelling of 31213313111333 in words is "thirty-one trillion, two hundred thirteen billion, three hundred thirteen million, one hundred eleven thousand, three hundred thirty-three".