1331393280 has 144 divisors (see below), whose sum is σ = 4859683584. Its totient is φ = 304312320.

The previous prime is 1331393279. The next prime is 1331393303. The reversal of 1331393280 is 823931331.

It is a super-3 number, since 3×1331393280³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2115 + ... + 51645.

Almost surely, 2^1331393280 is an apocalyptic number.

1331393280 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 1331393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429841792).

1331393280 is an abundant number, since it is smaller than the sum of its proper divisors (3528290304).

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

1331393280 is an equidigital number, since it uses as much as digits as its factorization.

1331393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49562 (or 49548 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1331393280 is about 36488.2622222544. The cubic root of 1331393280 is about 1100.1083309287.

The spelling of 1331393280 in words is "one billion, three hundred thirty-one million, three hundred ninety-three thousand, two hundred eighty".