11301111213013 has 16 divisors (see below), whose sum is σ = 11406581827200. Its totient is φ = 11195992969920.

The previous prime is 11301111213001. The next prime is 11301111213071. The reversal of 11301111213013 is 31031211110311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11301111213013 is a prime.

It is a super-3 number, since 3×11301111213013³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301111213113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873273123 + ... + 873286063.

It is an arithmetic number, because the mean of its divisors is an integer number (712911364200).

Almost surely, 2^{11301111213013} is an apocalyptic number.

It is an amenable number.

11301111213013 is a deficient number, since it is larger than the sum of its proper divisors (105470614187).

11301111213013 is a wasteful number, since it uses less digits than its factorization.

11301111213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25932.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 11301111213013 its reverse (31031211110311), we get a palindrome (42332322323324).

The spelling of 11301111213013 in words is "eleven trillion, three hundred one billion, one hundred eleven million, two hundred thirteen thousand, thirteen".