1313001330100 has 72 divisors (see below), whose sum is σ = 2871794887808. Its totient is φ = 521052825600.

The previous prime is 1313001330071. The next prime is 1313001330101. The reversal of 1313001330100 is 10331003131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313001330101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6990415 + ... + 7175785.

Almost surely, 2^{1313001330100} is an apocalyptic number.

1313001330100 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 1313001330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435897443904).

1313001330100 is an abundant number, since it is smaller than the sum of its proper divisors (1558793557708).

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

1313001330100 is a wasteful number, since it uses less digits than its factorization.

1313001330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185945 (or 185938 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1313001330100 its reverse (10331003131), we get a palindrome (1323332333231).

The spelling of 1313001330100 in words is "one trillion, three hundred thirteen billion, one million, three hundred thirty thousand, one hundred".