1003301002144 has 96 divisors (see below), whose sum is σ = 2317294828800. Its totient is φ = 427410595584.

The previous prime is 1003301002139. The next prime is 1003301002181. The reversal of 1003301002144 is 4412001033001.

1003301002144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1003301002144² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559314 + ... + 2106670.

It is an arithmetic number, because the mean of its divisors is an integer number (24138487800).

Almost surely, 2^{1003301002144} is an apocalyptic number.

1003301002144 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 1003301002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158647414400).

1003301002144 is an abundant number, since it is smaller than the sum of its proper divisors (1313993826656).

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

1003301002144 is an equidigital number, since it uses as much as digits as its factorization.

1003301002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547555 (or 547533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1003301002144 its reverse (4412001033001), we get a palindrome (5415302035145).

The spelling of 1003301002144 in words is "one trillion, three billion, three hundred one million, two thousand, one hundred forty-four".