1321431300 has 288 divisors, whose sum is σ = 4899686400. Its totient is φ = 299272320.

The previous prime is 1321431299. The next prime is 1321431329. The reversal of 1321431300 is 31341231.

1321431300 is a `hidden beast` number, since 1 + 321 + 43 + 1 + 300 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2626849 + ... + 2627351.

It is an arithmetic number, because the mean of its divisors is an integer number (17012800).

Almost surely, 2^1321431300 is an apocalyptic number.

1321431300 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 1321431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449843200).

1321431300 is an abundant number, since it is smaller than the sum of its proper divisors (3578255100).

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

1321431300 is a wasteful number, since it uses less digits than its factorization.

1321431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

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

The square root of 1321431300 is about 36351.4965304044. The cubic root of 1321431300 is about 1097.3576522987.

Adding to 1321431300 its reverse (31341231), we get a palindrome (1352772531).

The spelling of 1321431300 in words is "one billion, three hundred twenty-one million, four hundred thirty-one thousand, three hundred".