1331002420 has 72 divisors (see below), whose sum is σ = 3253129992. Its totient is φ = 455516160.

The previous prime is 1331002411. The next prime is 1331002441. The reversal of 1331002420 is 242001331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 530565156 + 800437264 = 23034^2 + 28292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1331002394 and 1331002403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24964 + ... + 57316.

It is an arithmetic number, because the mean of its divisors is an integer number (45182361).

Almost surely, 2^1331002420 is an apocalyptic number.

1331002420 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 1331002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626564996).

1331002420 is an abundant number, since it is smaller than the sum of its proper divisors (1922127572).

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

1331002420 is a wasteful number, since it uses less digits than its factorization.

1331002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32401 (or 32388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1331002420 is about 36482.9058601422. The cubic root of 1331002420 is about 1100.0006666663. Note that the first 3 decimals are identical.

Adding to 1331002420 its reverse (242001331), we get a palindrome (1573003751).

The spelling of 1331002420 in words is "one billion, three hundred thirty-one million, two thousand, four hundred twenty".