11213201313013 has 16 divisors (see below), whose sum is σ = 12828406752000. Its totient is φ = 9601328155392.

The previous prime is 11213201312981. The next prime is 11213201313019. The reversal of 11213201313013 is 31031310231211.

11213201313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11213201313013 - 2⁵ = 11213201312981 is a prime.

It is a super-3 number, since 3×11213201313013³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213201313019) 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, 58584973 + ... + 58776061.

It is an arithmetic number, because the mean of its divisors is an integer number (801775422000).

Almost surely, 2^{11213201313013} is an apocalyptic number.

It is an amenable number.

11213201313013 is a deficient number, since it is larger than the sum of its proper divisors (1615205438987).

11213201313013 is a wasteful number, since it uses less digits than its factorization.

11213201313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199764.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11213201313013 its reverse (31031310231211), we get a palindrome (42244511544224).

The spelling of 11213201313013 in words is "eleven trillion, two hundred thirteen billion, two hundred one million, three hundred thirteen thousand, thirteen".