1313135237568 has 448 divisors, whose sum is σ = 4570864680960. Its totient is φ = 322571673600.

The previous prime is 1313135237563. The next prime is 1313135237587. The reversal of 1313135237568 is 8657325313131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313135237563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30241153 + ... + 30284543.

Almost surely, 2^{1313135237568} 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 1313135237568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285432340480).

1313135237568 is an abundant number, since it is smaller than the sum of its proper divisors (3257729443392).

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

1313135237568 is a wasteful number, since it uses less digits than its factorization.

1313135237568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43536 (or 43526 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The spelling of 1313135237568 in words is "one trillion, three hundred thirteen billion, one hundred thirty-five million, two hundred thirty-seven thousand, five hundred sixty-eight".