1103003312000 has 256 divisors, whose sum is σ = 2873142005760. Its totient is φ = 420583680000.

The previous prime is 1103003311999. The next prime is 1103003312029. The reversal of 1103003312000 is 2133003011.

It is a congruent number.

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, 33215405 + ... + 33248595.

It is an arithmetic number, because the mean of its divisors is an integer number (11223210960).

Almost surely, 2^{1103003312000} is an apocalyptic number.

1103003312000 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 1103003312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436571002880).

1103003312000 is an abundant number, since it is smaller than the sum of its proper divisors (1770138693760).

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

1103003312000 is an equidigital number, since it uses as much as digits as its factorization.

1103003312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33318 (or 33296 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1103003312000 its reverse (2133003011), we get a palindrome (1105136315011).

The spelling of 1103003312000 in words is "one trillion, one hundred three billion, three million, three hundred twelve thousand".