1313220002432 has 64 divisors (see below), whose sum is σ = 2821822776360. Its totient is φ = 605155491840.

The previous prime is 1313220002417. The next prime is 1313220002441. The reversal of 1313220002432 is 2342000223131.

It can be written as a sum of positive squares in 4 ways, for example, as 728264251456 + 584955750976 = 853384^2 + 764824^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1313220002398 and 1313220002407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451028 + ... + 1682220.

Almost surely, 2^{1313220002432} 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 1313220002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410911388180).

1313220002432 is an abundant number, since it is smaller than the sum of its proper divisors (1508602773928).

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

1313220002432 is a wasteful number, since it uses less digits than its factorization.

1313220002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231861 (or 1231849 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1313220002432 its reverse (2342000223131), we get a palindrome (3655220225563).

The spelling of 1313220002432 in words is "one trillion, three hundred thirteen billion, two hundred twenty million, two thousand, four hundred thirty-two".