1333303412100 has 144 divisors (see below), whose sum is σ = 4211469823680. Its totient is φ = 322988556800.

The previous prime is 1333303412069. The next prime is 1333303412101. The reversal of 1333303412100 is 12143033331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1333303412101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4383766 + ... + 4678034.

It is an arithmetic number, because the mean of its divisors is an integer number (29246318220).

Almost surely, 2^{1333303412100} is an apocalyptic number.

1333303412100 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 1333303412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105734911840).

1333303412100 is an abundant number, since it is smaller than the sum of its proper divisors (2878166411580).

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

1333303412100 is a wasteful number, since it uses less digits than its factorization.

1333303412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295670 (or 295663 counting only the distinct ones).

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

Adding to 1333303412100 its reverse (12143033331), we get a palindrome (1345446445431).

The spelling of 1333303412100 in words is "one trillion, three hundred thirty-three billion, three hundred three million, four hundred twelve thousand, one hundred".