11313013332330 has 256 divisors, whose sum is σ = 33568890600960. Its totient is φ = 2698357100544.

The previous prime is 11313013332197. The next prime is 11313013332359. The reversal of 11313013332330 is 3323331031311.

11313013332330 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 301 + 3 + 3 + 323 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11313013332294 and 11313013332303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6528112 + ... + 8077268.

It is an arithmetic number, because the mean of its divisors is an integer number (131128478910).

Almost surely, 2^{11313013332330} is an apocalyptic number.

11313013332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313013332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16784445300480).

11313013332330 is an abundant number, since it is smaller than the sum of its proper divisors (22255877268630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11313013332330 is a wasteful number, since it uses less digits than its factorization.

11313013332330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549270 (or 1549264 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 11313013332330 its reverse (3323331031311), we get a palindrome (14636344363641).

The spelling of 11313013332330 in words is "eleven trillion, three hundred thirteen billion, thirteen million, three hundred thirty-two thousand, three hundred thirty".