13024340405113 has 32 divisors (see below), whose sum is σ = 14071058100000. Its totient is φ = 12052100136960.

The previous prime is 13024340405093. The next prime is 13024340405117. The reversal of 13024340405113 is 31150404342031.

It can be written as a sum of positive squares in 16 ways, for example, as 10925226240889 + 2099114164224 = 3305333^2 + 1448832^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13024340405113 is a prime.

It is a super-3 number, since 3×13024340405113³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13024340405117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823848153 + ... + 823863961.

It is an arithmetic number, because the mean of its divisors is an integer number (439720565625).

Almost surely, 2^{13024340405113} is an apocalyptic number.

It is an amenable number.

13024340405113 is a deficient number, since it is larger than the sum of its proper divisors (1046717694887).

13024340405113 is an equidigital number, since it uses as much as digits as its factorization.

13024340405113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18670 (or 18636 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 13024340405113 its reverse (31150404342031), we get a palindrome (44174744747144).

The spelling of 13024340405113 in words is "thirteen trillion, twenty-four billion, three hundred forty million, four hundred five thousand, one hundred thirteen".