11133301312 has 224 divisors, whose sum is σ = 27077033984. Its totient is φ = 4441651200.

The previous prime is 11133301261. The next prime is 11133301349. The reversal of 11133301312 is 21310333111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 11133301312.

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, 61509862 + ... + 61510042.

It is an arithmetic number, because the mean of its divisors is an integer number (120879616).

Almost surely, 2^11133301312 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 11133301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538516992).

11133301312 is an abundant number, since it is smaller than the sum of its proper divisors (15943732672).

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

11133301312 is a wasteful number, since it uses less digits than its factorization.

11133301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11133301312 its reverse (21310333111), we get a palindrome (32443634423).

It can be divided in two parts, 11133 and 301312, that added together give a triangular number (312445 = T₇₉₀).

The spelling of 11133301312 in words is "eleven billion, one hundred thirty-three million, three hundred one thousand, three hundred twelve".