1003301311133 has 24 divisors (see below), whose sum is σ = 1128611757504. Its totient is φ = 890752040640.

The previous prime is 1003301311109. The next prime is 1003301311147. The reversal of 1003301311133 is 3311131033001.

It is not a de Polignac number, because 1003301311133 - 2¹² = 1003301307037 is a prime.

It is a super-3 number, since 3×1003301311133³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003301311183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67387016 + ... + 67401902.

It is an arithmetic number, because the mean of its divisors is an integer number (47025489896).

Almost surely, 2^{1003301311133} is an apocalyptic number.

It is an amenable number.

1003301311133 is a deficient number, since it is larger than the sum of its proper divisors (125310446371).

1003301311133 is a wasteful number, since it uses less digits than its factorization.

1003301311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27905 (or 27894 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1003301311133 its reverse (3311131033001), we get a palindrome (4314432344134).

The spelling of 1003301311133 in words is "one trillion, three billion, three hundred one million, three hundred eleven thousand, one hundred thirty-three".