11230133214300 has 1152 divisors, whose sum is σ = 45181109557248. Its totient is φ = 2095563571200.

The previous prime is 11230133214241. The next prime is 11230133214373. The reversal of 11230133214300 is 341233103211.

11230133214300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11230133214300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1344438924 + ... + 1344447276.

Almost surely, 2^{11230133214300} is an apocalyptic number.

11230133214300 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 11230133214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22590554778624).

11230133214300 is an abundant number, since it is smaller than the sum of its proper divisors (33950976342948).

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

11230133214300 is a wasteful number, since it uses less digits than its factorization.

11230133214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11230133214300 its reverse (341233103211), we get a palindrome (11571366317511).

The spelling of 11230133214300 in words is "eleven trillion, two hundred thirty billion, one hundred thirty-three million, two hundred fourteen thousand, three hundred".