1321013304 has 192 divisors, whose sum is σ = 4127760000. Its totient is φ = 378245376.

The previous prime is 1321013263. The next prime is 1321013357. The reversal of 1321013304 is 4033101231.

It is a super-3 number, since 3×1321013304³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1048627 + ... + 1049885.

It is an arithmetic number, because the mean of its divisors is an integer number (21498750).

Almost surely, 2^1321013304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063880000).

1321013304 is an abundant number, since it is smaller than the sum of its proper divisors (2806746696).

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

1321013304 is a wasteful number, since it uses less digits than its factorization.

1321013304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1321013304 is about 36345.7467112728. The cubic root of 1321013304 is about 1097.2419344701.

Adding to 1321013304 its reverse (4033101231), we get a palindrome (5354114535).

The spelling of 1321013304 in words is "one billion, three hundred twenty-one million, thirteen thousand, three hundred four".