11233103320032 has 192 divisors, whose sum is σ = 32466837312000. Its totient is φ = 3372415047680.

The previous prime is 11233103319989. The next prime is 11233103320057. The reversal of 11233103320032 is 23002330133211.

It is a super-2 number, since 2×11233103320032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11233103319984 and 11233103320011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61115053 + ... + 61298579.

It is an arithmetic number, because the mean of its divisors is an integer number (169098111000).

Almost surely, 2^{11233103320032} is an apocalyptic number.

11233103320032 is a gapful number since it is divisible by the number (12) 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 11233103320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233418656000).

11233103320032 is an abundant number, since it is smaller than the sum of its proper divisors (21233733991968).

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

11233103320032 is a wasteful number, since it uses less digits than its factorization.

11233103320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184089 (or 184081 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11233103320032 its reverse (23002330133211), we get a palindrome (34235433453243).

The spelling of 11233103320032 in words is "eleven trillion, two hundred thirty-three billion, one hundred three million, three hundred twenty thousand, thirty-two".