1321513504432 has 240 divisors, whose sum is σ = 3004570195200. Its totient is φ = 558279086080.

The previous prime is 1321513504429. The next prime is 1321513504453. The reversal of 1321513504432 is 2344053151231.

It is a super-2 number, since 2×1321513504432² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575105069 + ... + 1575105907.

It is an arithmetic number, because the mean of its divisors is an integer number (12519042480).

Almost surely, 2^{1321513504432} 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 1321513504432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502285097600).

1321513504432 is an abundant number, since it is smaller than the sum of its proper divisors (1683056690768).

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

1321513504432 is a wasteful number, since it uses less digits than its factorization.

1321513504432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 1321513504432 its reverse (2344053151231), we get a palindrome (3665566655663).

The spelling of 1321513504432 in words is "one trillion, three hundred twenty-one billion, five hundred thirteen million, five hundred four thousand, four hundred thirty-two".