3131133322133 has 2 divisors, whose sum is σ = 3131133322134. Its totient is φ = 3131133322132.

The previous prime is 3131133322117. The next prime is 3131133322147. The reversal of 3131133322133 is 3312233311313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1785946250449 + 1345187071684 = 1336393^2 + 1159822^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131133322133 - 2⁴ = 3131133322117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131133322096 and 3131133322105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131133322333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565566661066 + 1565566661067.

It is an arithmetic number, because the mean of its divisors is an integer number (1565566661067).

Almost surely, 2^{3131133322133} is an apocalyptic number.

It is an amenable number.

3131133322133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131133322133 is an equidigital number, since it uses as much as digits as its factorization.

3131133322133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8748, while the sum is 29.

Adding to 3131133322133 its reverse (3312233311313), we get a palindrome (6443366633446).

The spelling of 3131133322133 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred thirty-three".