3003121331101 has 16 divisors (see below), whose sum is σ = 3120802473600. Its totient is φ = 2886404250688.

The previous prime is 3003121331071. The next prime is 3003121331107. The reversal of 3003121331101 is 1011331213003.

It is a cyclic number.

It is not a de Polignac number, because 3003121331101 - 2³⁵ = 2968761592733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003121331107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7337610 + ... + 7736068.

It is an arithmetic number, because the mean of its divisors is an integer number (195050154600).

Almost surely, 2^{3003121331101} is an apocalyptic number.

It is an amenable number.

3003121331101 is a deficient number, since it is larger than the sum of its proper divisors (117681142499).

3003121331101 is a wasteful number, since it uses less digits than its factorization.

3003121331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399668.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 3003121331101 its reverse (1011331213003), we get a palindrome (4014452544104).

The spelling of 3003121331101 in words is "three trillion, three billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred one".