1321133004 has 120 divisors (see below), whose sum is σ = 3652331760. Its totient is φ = 415269504.

The previous prime is 1321132993. The next prime is 1321133029. The reversal of 1321133004 is 4003311231.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1951114 + ... + 1951790.

It is an arithmetic number, because the mean of its divisors is an integer number (30436098).

Almost surely, 2^1321133004 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 1321133004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826165880).

1321133004 is an abundant number, since it is smaller than the sum of its proper divisors (2331198756).

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

1321133004 is a wasteful number, since it uses less digits than its factorization.

1321133004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1018 counting only the distinct ones).

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

The square root of 1321133004 is about 36347.3933590842. The cubic root of 1321133004 is about 1097.2750746593.

Adding to 1321133004 its reverse (4003311231), we get a palindrome (5324444235).

The spelling of 1321133004 in words is "one billion, three hundred twenty-one million, one hundred thirty-three thousand, four".