1331341004 has 48 divisors (see below), whose sum is σ = 2786359296. Its totient is φ = 544579200.

The previous prime is 1331340977. The next prime is 1331341007. The reversal of 1331341004 is 4001431331.

It is not an unprimeable number, because it can be changed into a prime (1331341007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52859 + ... + 73869.

It is an arithmetic number, because the mean of its divisors is an integer number (58049152).

Almost surely, 2^1331341004 is an apocalyptic number.

1331341004 is a gapful number since it is divisible by the number (14) 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 1331341004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393179648).

1331341004 is an abundant number, since it is smaller than the sum of its proper divisors (1455018292).

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

1331341004 is a wasteful number, since it uses less digits than its factorization.

1331341004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21126 (or 21124 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1331341004 is about 36487.5458752709. The cubic root of 1331341004 is about 1100.0939324744.

Adding to 1331341004 its reverse (4001431331), we get a palindrome (5332772335).

The spelling of 1331341004 in words is "one billion, three hundred thirty-one million, three hundred forty-one thousand, four".