11134002314000 has 160 divisors (see below), whose sum is σ = 27379999924992. Its totient is φ = 4378200960000.

The previous prime is 11134002313969. The next prime is 11134002314011. The reversal of 11134002314000 is 41320043111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49161020 + ... + 49386980.

Almost surely, 2^{11134002314000} is an apocalyptic number.

11134002314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134002314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13689999962496).

11134002314000 is an abundant number, since it is smaller than the sum of its proper divisors (16245997610992).

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

11134002314000 is a wasteful number, since it uses less digits than its factorization.

11134002314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226402 (or 226386 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11134002314000 its reverse (41320043111), we get a palindrome (11175322357111).

The spelling of 11134002314000 in words is "eleven trillion, one hundred thirty-four billion, two million, three hundred fourteen thousand".