11133001201312 has 96 divisors (see below), whose sum is σ = 23325915150720. Its totient is φ = 5215548994560.

The previous prime is 11133001201307. The next prime is 11133001201351. The reversal of 11133001201312 is 21310210033111.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 11133001201312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48293362 + ... + 48523342.

It is an arithmetic number, because the mean of its divisors is an integer number (242978282820).

Almost surely, 2^{11133001201312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133001201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662957575360).

11133001201312 is an abundant number, since it is smaller than the sum of its proper divisors (12192913949408).

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

11133001201312 is a wasteful number, since it uses less digits than its factorization.

11133001201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230886 (or 230878 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11133001201312 its reverse (21310210033111), we get a palindrome (32443211234423).

The spelling of 11133001201312 in words is "eleven trillion, one hundred thirty-three billion, one million, two hundred one thousand, three hundred twelve".