231001322013113 has 2 divisors, whose sum is σ = 231001322013114. Its totient is φ = 231001322013112.

The previous prime is 231001322013103. The next prime is 231001322013127. The reversal of 231001322013113 is 311310223100132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155046401808169 + 75954920204944 = 12451763^2 + 8715212^2 .

It is a cyclic number.

It is not a de Polignac number, because 231001322013113 - 2²⁰ = 231001320964537 is a prime.

It is a super-3 number, since 3×231001322013113³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (231001322013103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115500661006556 + 115500661006557.

It is an arithmetic number, because the mean of its divisors is an integer number (115500661006557).

Almost surely, 2^{231001322013113} is an apocalyptic number.

It is an amenable number.

231001322013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

231001322013113 is an equidigital number, since it uses as much as digits as its factorization.

231001322013113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 231001322013113 its reverse (311310223100132), we get a palindrome (542311545113245).

The spelling of 231001322013113 in words is "two hundred thirty-one trillion, one billion, three hundred twenty-two million, thirteen thousand, one hundred thirteen".