1313387280128 has 144 divisors (see below), whose sum is σ = 3269363806464. Its totient is φ = 511580897280.

The previous prime is 1313387280103. The next prime is 1313387280133. The reversal of 1313387280128 is 8210827833131.

It is a super-2 number, since 2×1313387280128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129049376 + ... + 129059552.

Almost surely, 2^{1313387280128} 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 1313387280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634681903232).

1313387280128 is an abundant number, since it is smaller than the sum of its proper divisors (1955976526336).

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

1313387280128 is a wasteful number, since it uses less digits than its factorization.

1313387280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16758 (or 16744 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 1313387280128 in words is "one trillion, three hundred thirteen billion, three hundred eighty-seven million, two hundred eighty thousand, one hundred twenty-eight".