1313001030000 has 400 divisors, whose sum is σ = 4636695482496. Its totient is φ = 317420160000.

The previous prime is 1313001029993. The next prime is 1313001030007. The reversal of 1313001030000 is 301003131.

It is an interprime number because it is at equal distance from previous prime (1313001029993) and next prime (1313001030007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313001030007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123084667 + ... + 123095333.

Almost surely, 2^{1313001030000} is an apocalyptic number.

1313001030000 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 1313001030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318347741248).

1313001030000 is an abundant number, since it is smaller than the sum of its proper divisors (3323694452496).

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

1313001030000 is a wasteful number, since it uses less digits than its factorization.

1313001030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11082 (or 11061 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1313001030000 its reverse (301003131), we get a palindrome (1313302033131).

The spelling of 1313001030000 in words is "one trillion, three hundred thirteen billion, one million, thirty thousand".