11303322312313 has 16 divisors (see below), whose sum is σ = 12172743011520. Its totient is φ = 10456675417600.

The previous prime is 11303322312311. The next prime is 11303322312341. The reversal of 11303322312313 is 31321322330311.

It is a happy number.

11303322312313 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 11303322312313 - 2¹ = 11303322312311 is a prime.

It is a super-3 number, since 3×11303322312313³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11303322312311) 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, 6584373 + ... + 8121613.

It is an arithmetic number, because the mean of its divisors is an integer number (760796438220).

Almost surely, 2^{11303322312313} is an apocalyptic number.

It is an amenable number.

11303322312313 is a deficient number, since it is larger than the sum of its proper divisors (869420699207).

11303322312313 is a wasteful number, since it uses less digits than its factorization.

11303322312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544648.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 11303322312313 its reverse (31321322330311), we get a palindrome (42624644642624).

The spelling of 11303322312313 in words is "eleven trillion, three hundred three billion, three hundred twenty-two million, three hundred twelve thousand, three hundred thirteen".