1313425644300 has 432 divisors, whose sum is σ = 5183554731264. Its totient is φ = 270216000000.

The previous prime is 1313425644287. The next prime is 1313425644317. The reversal of 1313425644300 is 34465243131.

1313425644300 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 2 + 5 + 644 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6905475 + ... + 7093125.

Almost surely, 2^{1313425644300} is an apocalyptic number.

1313425644300 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 1313425644300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591777365632).

1313425644300 is an abundant number, since it is smaller than the sum of its proper divisors (3870129086964).

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

1313425644300 is a wasteful number, since it uses less digits than its factorization.

1313425644300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187790 (or 187780 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1313425644300 in words is "one trillion, three hundred thirteen billion, four hundred twenty-five million, six hundred forty-four thousand, three hundred".