213031100320013 has 2 divisors, whose sum is σ = 213031100320014. Its totient is φ = 213031100320012.

The previous prime is 213031100319929. The next prime is 213031100320043. The reversal of 213031100320013 is 310023001130312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209527304103364 + 3503796216649 = 14475058^2 + 1871843^2 .

It is a cyclic number.

It is not a de Polignac number, because 213031100320013 - 2¹⁰ = 213031100318989 is a prime.

It is a super-2 number, since 2×213031100320013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213031100320043) 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, 106515550160006 + 106515550160007.

It is an arithmetic number, because the mean of its divisors is an integer number (106515550160007).

Almost surely, 2^{213031100320013} is an apocalyptic number.

It is an amenable number.

213031100320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213031100320013 is an equidigital number, since it uses as much as digits as its factorization.

213031100320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213031100320013 its reverse (310023001130312), we get a palindrome (523054101450325).

The spelling of 213031100320013 in words is "two hundred thirteen trillion, thirty-one billion, one hundred million, three hundred twenty thousand, thirteen".