231001330013 has 16 divisors (see below), whose sum is σ = 236414415600. Its totient is φ = 225650810880.

The previous prime is 231001329973. The next prime is 231001330037. The reversal of 231001330013 is 310033100132.

It can be written as a sum of positive squares in 8 ways, for example, as 11810690329 + 219190639684 = 108677^2 + 468178^2 .

It is a cyclic number.

It is not a de Polignac number, because 231001330013 - 2¹⁴ = 231001313629 is a prime.

It is a super-2 number, since 2×231001330013² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231001329973 and 231001330000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231001330213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25211153 + ... + 25220313.

It is an arithmetic number, because the mean of its divisors is an integer number (14775900975).

Almost surely, 2^231001330013 is an apocalyptic number.

It is an amenable number.

231001330013 is a deficient number, since it is larger than the sum of its proper divisors (5413085587).

231001330013 is a wasteful number, since it uses less digits than its factorization.

231001330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12512.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 231001330013 its reverse (310033100132), we get a palindrome (541034430145).

The spelling of 231001330013 in words is "two hundred thirty-one billion, one million, three hundred thirty thousand, thirteen".