1313025234300 has 216 divisors, whose sum is σ = 4448676828960. Its totient is φ = 322003929600.

The previous prime is 1313025234259. The next prime is 1313025234317. The reversal of 1313025234300 is 34325203131.

1313025234300 is a `hidden beast` number, since 1 + 3 + 1 + 302 + 52 + 3 + 4 + 300 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2938705 + ... + 3355895.

It is an arithmetic number, because the mean of its divisors is an integer number (20595726060).

Almost surely, 2^{1313025234300} is an apocalyptic number.

1313025234300 is a gapful number since it is divisible by the number (10) 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 1313025234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224338414480).

1313025234300 is an abundant number, since it is smaller than the sum of its proper divisors (3135651594660).

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

1313025234300 is a wasteful number, since it uses less digits than its factorization.

1313025234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417493 (or 417483 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 1313025234300 in words is "one trillion, three hundred thirteen billion, twenty-five million, two hundred thirty-four thousand, three hundred".