11301133322313 has 64 divisors (see below), whose sum is σ = 17104928520960. Its totient is φ = 7464874152960.

The previous prime is 11301133322309. The next prime is 11301133322333. The reversal of 11301133322313 is 31322333110311.

11301133322313 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 1 + 13 + 332 + 2 + 313 = 666.

It is not a de Polignac number, because 11301133322313 - 2² = 11301133322309 is a prime.

It is a super-2 number, since 2×11301133322313² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11301133322333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 971466145 + ... + 971477777.

It is an arithmetic number, because the mean of its divisors is an integer number (267264508140).

Almost surely, 2^{11301133322313} is an apocalyptic number.

It is an amenable number.

11301133322313 is a deficient number, since it is larger than the sum of its proper divisors (5803795198647).

11301133322313 is an equidigital number, since it uses as much as digits as its factorization.

11301133322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15698 (or 15680 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11301133322313 its reverse (31322333110311), we get a palindrome (42623466432624).

The spelling of 11301133322313 in words is "eleven trillion, three hundred one billion, one hundred thirty-three million, three hundred twenty-two thousand, three hundred thirteen".