1300331310000 has 800 divisors, whose sum is σ = 4551822950400. Its totient is φ = 318764160000.

The previous prime is 1300331309993. The next prime is 1300331310001. The reversal of 1300331310000 is 131330031.

It is a super-2 number, since 2×1300331310000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1300331310001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3017009785 + ... + 3017010215.

It is an arithmetic number, because the mean of its divisors is an integer number (5689778688).

Almost surely, 2^{1300331310000} is an apocalyptic number.

1300331310000 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 1300331310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275911475200).

1300331310000 is an abundant number, since it is smaller than the sum of its proper divisors (3251491640400).

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

1300331310000 is a wasteful number, since it uses less digits than its factorization.

1300331310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1300331310000 its reverse (131330031), we get a palindrome (1300462640031).

The spelling of 1300331310000 in words is "one trillion, three hundred billion, three hundred thirty-one million, three hundred ten thousand".