1313113002300 has 288 divisors, whose sum is σ = 4763982585600. Its totient is φ = 307353312000.

The previous prime is 1313113002263. The next prime is 1313113002323. The reversal of 1313113002300 is 32003113131.

It is a happy number.

1313113002300 is a `hidden beast` number, since 1 + 3 + 131 + 1 + 300 + 230 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99015 + ... + 1623585.

It is an arithmetic number, because the mean of its divisors is an integer number (16541606200).

Almost surely, 2^{1313113002300} is an apocalyptic number.

1313113002300 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 1313113002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381991292800).

1313113002300 is an abundant number, since it is smaller than the sum of its proper divisors (3450869583300).

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

1313113002300 is a wasteful number, since it uses less digits than its factorization.

1313113002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524634 (or 1524621 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313113002300 its reverse (32003113131), we get a palindrome (1345116115431).

The spelling of 1313113002300 in words is "one trillion, three hundred thirteen billion, one hundred thirteen million, two thousand, three hundred".