11305101330 has 48 divisors (see below), whose sum is σ = 29875134744. Its totient is φ = 2965271040.

The previous prime is 11305101329. The next prime is 11305101343. The reversal of 11305101330 is 3310150311.

11305101330 is a `hidden beast` number, since 113 + 0 + 510 + 13 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5446882809 + 5858218521 = 73803^2 + 76539^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024119 + ... + 1035098.

Almost surely, 2^11305101330 is an apocalyptic number.

11305101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11305101330 is an abundant number, since it is smaller than the sum of its proper divisors (18570033414).

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

11305101330 is a wasteful number, since it uses less digits than its factorization.

11305101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059291 (or 2059288 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 11305101330 its reverse (3310150311), we get a palindrome (14615251641).

The spelling of 11305101330 in words is "eleven billion, three hundred five million, one hundred one thousand, three hundred thirty".