1321434100 has 108 divisors (see below), whose sum is σ = 3362027872. Its totient is φ = 441619200.

The previous prime is 1321434083. The next prime is 1321434113. The reversal of 1321434100 is 14341231.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1176139 + ... + 1177261.

Almost surely, 2^1321434100 is an apocalyptic number.

1321434100 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 1321434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681013936).

1321434100 is an abundant number, since it is smaller than the sum of its proper divisors (2040593772).

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

1321434100 is a wasteful number, since it uses less digits than its factorization.

1321434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1321434100 is about 36351.5350432413. The cubic root of 1321434100 is about 1097.3584273672.

Adding to 1321434100 its reverse (14341231), we get a palindrome (1335775331).

The spelling of 1321434100 in words is "one billion, three hundred twenty-one million, four hundred thirty-four thousand, one hundred".