1333030001100 has 432 divisors, whose sum is σ = 4606378672896. Its totient is φ = 296606016000.

The previous prime is 1333030001089. The next prime is 1333030001101. The reversal of 1333030001100 is 11000303331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1333030001100.

It is not an unprimeable number, because it can be changed into a prime (1333030001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196579710 + ... + 196586490.

Almost surely, 2^{1333030001100} is an apocalyptic number.

1333030001100 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 1333030001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303189336448).

1333030001100 is an abundant number, since it is smaller than the sum of its proper divisors (3273348671796).

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

1333030001100 is a wasteful number, since it uses less digits than its factorization.

1333030001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1333030001100 its reverse (11000303331), we get a palindrome (1344030304431).

The spelling of 1333030001100 in words is "one trillion, three hundred thirty-three billion, thirty million, one thousand, one hundred".