1333121020 has 96 divisors (see below), whose sum is σ = 3499324416. Its totient is φ = 414451200.

The previous prime is 1333120973. The next prime is 1333121021. The reversal of 1333121020 is 201213331.

It is a junction number, because it is equal to n+sod(n) for n = 1333120985 and 1333121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333121021) 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, 773760 + ... + 775480.

It is an arithmetic number, because the mean of its divisors is an integer number (36451296).

Almost surely, 2^1333121020 is an apocalyptic number.

1333121020 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 1333121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749662208).

1333121020 is an abundant number, since it is smaller than the sum of its proper divisors (2166203396).

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

1333121020 is a wasteful number, since it uses less digits than its factorization.

1333121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1333121020 is about 36511.9298312209. The cubic root of 1333121020 is about 1100.5839929320.

Adding to 1333121020 its reverse (201213331), we get a palindrome (1534334351).

The spelling of 1333121020 in words is "one billion, three hundred thirty-three million, one hundred twenty-one thousand, twenty".