1003121402304 has 224 divisors, whose sum is σ = 3234790218240. Its totient is φ = 267805458432.

The previous prime is 1003121402201. The next prime is 1003121402341. The reversal of 1003121402304 is 4032041213001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3017944 + ... + 3333800.

It is an arithmetic number, because the mean of its divisors is an integer number (14441027760).

Almost surely, 2^{1003121402304} is an apocalyptic number.

1003121402304 is a gapful number since it is divisible by the number (14) 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 1003121402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617395109120).

1003121402304 is an abundant number, since it is smaller than the sum of its proper divisors (2231668815936).

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

1003121402304 is a wasteful number, since it uses less digits than its factorization.

1003121402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316035 (or 316025 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1003121402304 its reverse (4032041213001), we get a palindrome (5035162615305).

The spelling of 1003121402304 in words is "one trillion, three billion, one hundred twenty-one million, four hundred two thousand, three hundred four".