4135344113013 has 32 divisors (see below), whose sum is σ = 5813602129920. Its totient is φ = 2609531622720.

The previous prime is 4135344112993. The next prime is 4135344113029. The reversal of 4135344113013 is 3103114435314.

It is not a de Polignac number, because 4135344113013 - 2²² = 4135339918709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135344113413) 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, 9604098 + ... + 10025436.

It is an arithmetic number, because the mean of its divisors is an integer number (181675066560).

Almost surely, 2^{4135344113013} is an apocalyptic number.

It is an amenable number.

4135344113013 is a deficient number, since it is larger than the sum of its proper divisors (1678258016907).

4135344113013 is a wasteful number, since it uses less digits than its factorization.

4135344113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422849.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 4135344113013 its reverse (3103114435314), we get a palindrome (7238458548327).

The spelling of 4135344113013 in words is "four trillion, one hundred thirty-five billion, three hundred forty-four million, one hundred thirteen thousand, thirteen".