1413322320300 has 432 divisors, whose sum is σ = 4559312185344. Its totient is φ = 335190400000.

The previous prime is 1413322320299. The next prime is 1413322320307. The reversal of 1413322320300 is 30232233141.

It is not an unprimeable number, because it can be changed into a prime (1413322320307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7399593205 + ... + 7399593395.

It is an arithmetic number, because the mean of its divisors is an integer number (10553963392).

Almost surely, 2^{1413322320300} is an apocalyptic number.

1413322320300 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 1413322320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279656092672).

1413322320300 is an abundant number, since it is smaller than the sum of its proper divisors (3145989865044).

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

1413322320300 is a wasteful number, since it uses less digits than its factorization.

1413322320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1413322320300 its reverse (30232233141), we get a palindrome (1443554553441).

The spelling of 1413322320300 in words is "one trillion, four hundred thirteen billion, three hundred twenty-two million, three hundred twenty thousand, three hundred".