213133010113031 has 2 divisors, whose sum is σ = 213133010113032. Its totient is φ = 213133010113030.

The previous prime is 213133010113021. The next prime is 213133010113043. The reversal of 213133010113031 is 130311010331312.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 213133010113031 - 2³⁸ = 212858132206087 is a prime.

It is a super-2 number, since 2×213133010113031² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 213133010112988 and 213133010113006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213133010113021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566505056515 + 106566505056516.

It is an arithmetic number, because the mean of its divisors is an integer number (106566505056516).

Almost surely, 2^{213133010113031} is an apocalyptic number.

213133010113031 is a deficient number, since it is larger than the sum of its proper divisors (1).

213133010113031 is an equidigital number, since it uses as much as digits as its factorization.

213133010113031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 213133010113031 its reverse (130311010331312), we get a palindrome (343444020444343).

The spelling of 213133010113031 in words is "two hundred thirteen trillion, one hundred thirty-three billion, ten million, one hundred thirteen thousand, thirty-one".