12001011313 has 8 divisors (see below), whose sum is σ = 12296853576. Its totient is φ = 11705318400.

The previous prime is 12001011271. The next prime is 12001011413. The reversal of 12001011313 is 31311010021.

12001011313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 132434064 + 11868577249 = 11508^2 + 108943^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12001011313 - 2¹³ = 12001003121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001011293 and 12001011302.

It is not an unprimeable number, because it can be changed into a prime (12001011413) 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 7 ways as a sum of consecutive naturals, for example, 135033 + ... + 205513.

It is an arithmetic number, because the mean of its divisors is an integer number (1537106697).

Almost surely, 2^12001011313 is an apocalyptic number.

It is an amenable number.

12001011313 is a deficient number, since it is larger than the sum of its proper divisors (295842263).

12001011313 is an equidigital number, since it uses as much as digits as its factorization.

12001011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74675.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 12001011313 its reverse (31311010021), we get a palindrome (43312021334).

The spelling of 12001011313 in words is "twelve billion, one million, eleven thousand, three hundred thirteen".