1313311005312 has 32 divisors (see below), whose sum is σ = 3488482358880. Its totient is φ = 437770334976.

The previous prime is 1313311005257. The next prime is 1313311005317. The reversal of 1313311005312 is 2135001133131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1313311005317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1710039988 + ... + 1710040755.

It is an arithmetic number, because the mean of its divisors is an integer number (109015073715).

Almost surely, 2^{1313311005312} is an apocalyptic number.

1313311005312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313311005312 is an abundant number, since it is smaller than the sum of its proper divisors (2175171353568).

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

1313311005312 is an equidigital number, since it uses as much as digits as its factorization.

1313311005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420080760 (or 3420080748 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

Adding to 1313311005312 its reverse (2135001133131), we get a palindrome (3448312138443).

The spelling of 1313311005312 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, five thousand, three hundred twelve".