1313310311312 has 80 divisors (see below), whose sum is σ = 2655061922304. Its totient is φ = 628622592000.

The previous prime is 1313310311293. The next prime is 1313310311329. The reversal of 1313310311312 is 2131130133131.

It is a super-2 number, since 2×1313310311312² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20565512 + ... + 20629272.

Almost surely, 2^{1313310311312} 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 1313310311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327530961152).

1313310311312 is an abundant number, since it is smaller than the sum of its proper divisors (1341751610992).

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

1313310311312 is a wasteful number, since it uses less digits than its factorization.

1313310311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64248 (or 64242 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1313310311312 its reverse (2131130133131), we get a palindrome (3444440444443).

The spelling of 1313310311312 in words is "one trillion, three hundred thirteen billion, three hundred ten million, three hundred eleven thousand, three hundred twelve".