1100313312000 has 288 divisors, whose sum is σ = 4176791883264. Its totient is φ = 251500032000.

The previous prime is 1100313311983. The next prime is 1100313312001. The reversal of 1100313312000 is 2133130011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1100313312001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146686 + ... + 1490685.

Almost surely, 2^{1100313312000} is an apocalyptic number.

1100313312000 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 1100313312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088395941632).

1100313312000 is an abundant number, since it is smaller than the sum of its proper divisors (3076478571264).

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

1100313312000 is an equidigital number, since it uses as much as digits as its factorization.

1100313312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637412 (or 1637388 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1100313312000 its reverse (2133130011), we get a palindrome (1102446442011).

The spelling of 1100313312000 in words is "one trillion, one hundred billion, three hundred thirteen million, three hundred twelve thousand".