231001000213 has 2 divisors, whose sum is σ = 231001000214. Its totient is φ = 231001000212.

The previous prime is 231001000189. The next prime is 231001000229. The reversal of 231001000213 is 312000100132.

231001000213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181955139844 + 49045860369 = 426562^2 + 221463^2 .

It is a cyclic number.

It is not a de Polignac number, because 231001000213 - 2²¹ = 230998903061 is a prime.

It is a super-2 number, since 2×231001000213² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231001000193 and 231001000202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231001000613) 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, 115500500106 + 115500500107.

It is an arithmetic number, because the mean of its divisors is an integer number (115500500107).

Almost surely, 2^231001000213 is an apocalyptic number.

It is an amenable number.

231001000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

231001000213 is an equidigital number, since it uses as much as digits as its factorization.

231001000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 231001000213 its reverse (312000100132), we get a palindrome (543001100345).

The spelling of 231001000213 in words is "two hundred thirty-one billion, one million, two hundred thirteen", and thus it is an aban number.