1003301320121 has 32 divisors (see below), whose sum is σ = 1113712727040. Its totient is φ = 900698523648.

The previous prime is 1003301320079. The next prime is 1003301320129. The reversal of 1003301320121 is 1210231033001.

It is not a de Polignac number, because 1003301320121 - 2¹⁸ = 1003301057977 is a prime.

It is a super-2 number, since 2×1003301320121² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1003301320121.

It is not an unprimeable number, because it can be changed into a prime (1003301320129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75903305 + ... + 75916521.

It is an arithmetic number, because the mean of its divisors is an integer number (34803522720).

Almost surely, 2^{1003301320121} is an apocalyptic number.

It is an amenable number.

1003301320121 is a deficient number, since it is larger than the sum of its proper divisors (110411406919).

1003301320121 is an equidigital number, since it uses as much as digits as its factorization.

1003301320121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13670 (or 13624 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1003301320121 its reverse (1210231033001), we get a palindrome (2213532353122).

The spelling of 1003301320121 in words is "one trillion, three billion, three hundred one million, three hundred twenty thousand, one hundred twenty-one".