1283321320 has 64 divisors (see below), whose sum is σ = 3037986000. Its totient is φ = 487249920.

The previous prime is 1283321293. The next prime is 1283321327. The reversal of 1283321320 is 231233821.

It can be written as a sum of positive squares in 8 ways, for example, as 221473924 + 1061847396 = 14882^2 + 32586^2 .

It is a super-2 number, since 2×1283321320² = 3293827220733084800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1283321327) 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 15 ways as a sum of consecutive naturals, for example, 50106 + ... + 71254.

Almost surely, 2^1283321320 is an apocalyptic number.

1283321320 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 1283321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518993000).

1283321320 is an abundant number, since it is smaller than the sum of its proper divisors (1754664680).

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

1283321320 is a wasteful number, since it uses less digits than its factorization.

1283321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21238 (or 21234 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1283321320 is about 35823.4744266940. The cubic root of 1283321320 is about 1086.7053448706.

The spelling of 1283321320 in words is "one billion, two hundred eighty-three million, three hundred twenty-one thousand, three hundred twenty".