1313034422320 has 160 divisors (see below), whose sum is σ = 3313680910848. Its totient is φ = 481928638464.

The previous prime is 1313034422309. The next prime is 1313034422383. The reversal of 1313034422320 is 232244303131.

It is a happy number.

It is a super-3 number, since 3×1313034422320³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 31968037 + ... + 32009083.

Almost surely, 2^{1313034422320} is an apocalyptic number.

1313034422320 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 1313034422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656840455424).

1313034422320 is an abundant number, since it is smaller than the sum of its proper divisors (2000646488528).

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

1313034422320 is a wasteful number, since it uses less digits than its factorization.

1313034422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41667 (or 41661 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1313034422320 its reverse (232244303131), we get a palindrome (1545278725451).

The spelling of 1313034422320 in words is "one trillion, three hundred thirteen billion, thirty-four million, four hundred twenty-two thousand, three hundred twenty".