1003301312000 has 160 divisors (see below), whose sum is σ = 2694242494944. Its totient is φ = 370449408000.

The previous prime is 1003301311973. The next prime is 1003301312023. The reversal of 1003301312000 is 2131033001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1003301312000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229055 + ... + 1434945.

Almost surely, 2^{1003301312000} is an apocalyptic number.

1003301312000 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 1003301312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347121247472).

1003301312000 is an abundant number, since it is smaller than the sum of its proper divisors (1690941182944).

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

1003301312000 is an equidigital number, since it uses as much as digits as its factorization.

1003301312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205937 (or 1205911 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1003301312000 its reverse (2131033001), we get a palindrome (1005432345001).

The spelling of 1003301312000 in words is "one trillion, three billion, three hundred one million, three hundred twelve thousand".