11330134014330 has 192 divisors, whose sum is σ = 30059975162880. Its totient is φ = 2960447712768.

The previous prime is 11330134014239. The next prime is 11330134014343. The reversal of 11330134014330 is 3341043103311.

11330134014330 is a `hidden beast` number, since 1 + 1 + 3 + 301 + 340 + 14 + 3 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11330134014294 and 11330134014303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347821924 + ... + 347854496.

It is an arithmetic number, because the mean of its divisors is an integer number (156562370640).

Almost surely, 2^{11330134014330} is an apocalyptic number.

11330134014330 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 11330134014330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029987581440).

11330134014330 is an abundant number, since it is smaller than the sum of its proper divisors (18729841148550).

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

11330134014330 is a wasteful number, since it uses less digits than its factorization.

11330134014330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33085 (or 33082 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11330134014330 its reverse (3341043103311), we get a palindrome (14671177117641).

The spelling of 11330134014330 in words is "eleven trillion, three hundred thirty billion, one hundred thirty-four million, fourteen thousand, three hundred thirty".