1313355005004 has 96 divisors (see below), whose sum is σ = 3622623363072. Its totient is φ = 362399688000.

The previous prime is 1313355004931. The next prime is 1313355005117. The reversal of 1313355005004 is 4005005533131.

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, 764959 + ... + 1792169.

It is an arithmetic number, because the mean of its divisors is an integer number (37735660032).

Almost surely, 2^{1313355005004} is an apocalyptic number.

1313355005004 is a gapful number since it is divisible by the number (14) 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 1313355005004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811311681536).

1313355005004 is an abundant number, since it is smaller than the sum of its proper divisors (2309268358068).

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

1313355005004 is a wasteful number, since it uses less digits than its factorization.

1313355005004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027747 (or 1027745 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 1313355005004 in words is "one trillion, three hundred thirteen billion, three hundred fifty-five million, five thousand, four".