1333121100 has 144 divisors (see below), whose sum is σ = 4011909888. Its totient is φ = 341487360.

The previous prime is 1333121089. The next prime is 1333121171. The reversal of 1333121100 is 11213331.

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 1333121100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920577 + ... + 922023.

Almost surely, 2^1333121100 is an apocalyptic number.

1333121100 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 1333121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005954944).

1333121100 is an abundant number, since it is smaller than the sum of its proper divisors (2678788788).

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

1333121100 is a wasteful number, since it uses less digits than its factorization.

1333121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

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

The square root of 1333121100 is about 36511.9309267532. The cubic root of 1333121100 is about 1100.5840149472.

Adding to 1333121100 its reverse (11213331), we get a palindrome (1344334431).

The spelling of 1333121100 in words is "one billion, three hundred thirty-three million, one hundred twenty-one thousand, one hundred".