1000331401300 has 144 divisors (see below), whose sum is σ = 2733148817280. Its totient is φ = 308704320000.

The previous prime is 1000331401253. The next prime is 1000331401309. The reversal of 1000331401300 is 31041330001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000331401309) 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 47 ways as a sum of consecutive naturals, for example, 134566 + ... + 1420834.

It is an arithmetic number, because the mean of its divisors is an integer number (18980200120).

Almost surely, 2^{1000331401300} is an apocalyptic number.

1000331401300 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 1000331401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366574408640).

1000331401300 is an abundant number, since it is smaller than the sum of its proper divisors (1732817415980).

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

1000331401300 is a wasteful number, since it uses less digits than its factorization.

1000331401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286402 (or 1286395 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1000331401300 its reverse (31041330001), we get a palindrome (1031372731301).

The spelling of 1000331401300 in words is "one trillion, three hundred thirty-one million, four hundred one thousand, three hundred".