13010312013 has 8 divisors (see below), whose sum is σ = 17471882400. Its totient is φ = 8611141488.

The previous prime is 13010311981. The next prime is 13010312023. The reversal of 13010312013 is 31021301031.

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

It is not a de Polignac number, because 13010312013 - 2⁵ = 13010311981 is a prime.

It is a super-2 number, since 2×13010312013² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13010311983 and 13010312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010312023) 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 in 7 ways as a sum of consecutive naturals, for example, 15599478 + ... + 15600311.

It is an arithmetic number, because the mean of its divisors is an integer number (2183985300).

Almost surely, 2^13010312013 is an apocalyptic number.

It is an amenable number.

13010312013 is a deficient number, since it is larger than the sum of its proper divisors (4461570387).

13010312013 is a wasteful number, since it uses less digits than its factorization.

13010312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31199931.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13010312013 its reverse (31021301031), we get a palindrome (44031613044).

The spelling of 13010312013 in words is "thirteen billion, ten million, three hundred twelve thousand, thirteen".