1313253141312 has 224 divisors, whose sum is σ = 4007529907200. Its totient is φ = 371781292032.

The previous prime is 1313253141301. The next prime is 1313253141337. The reversal of 1313253141312 is 2131413523131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1313253141312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68073364 + ... + 68092652.

Almost surely, 2^{1313253141312} is an apocalyptic number.

1313253141312 is a gapful number since it is divisible by the number (12) 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 1313253141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003764953600).

1313253141312 is an abundant number, since it is smaller than the sum of its proper divisors (2694276765888).

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

1313253141312 is a wasteful number, since it uses less digits than its factorization.

1313253141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19773 (or 19763 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

Adding to 1313253141312 its reverse (2131413523131), we get a palindrome (3444666664443).

The spelling of 1313253141312 in words is "one trillion, three hundred thirteen billion, two hundred fifty-three million, one hundred forty-one thousand, three hundred twelve".