1003331401000 has 64 divisors (see below), whose sum is σ = 2349057372480. Its totient is φ = 401116852800.

The previous prime is 1003331400943. The next prime is 1003331401001. The reversal of 1003331401000 is 1041333001.

1003331401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1003331401001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1598299 + ... + 2135701.

It is an arithmetic number, because the mean of its divisors is an integer number (36704021445).

Almost surely, 2^{1003331401000} is an apocalyptic number.

1003331401000 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 1003331401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174528686240).

1003331401000 is an abundant number, since it is smaller than the sum of its proper divisors (1345725971480).

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

1003331401000 is a wasteful number, since it uses less digits than its factorization.

1003331401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539291 (or 539277 counting only the distinct ones).

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

Adding to 1003331401000 its reverse (1041333001), we get a palindrome (1004372734001).

The spelling of 1003331401000 in words is "one trillion, three billion, three hundred thirty-one million, four hundred one thousand".