3003131042401 has 8 divisors (see below), whose sum is σ = 3581373665664. Its totient is φ = 2462194394880.

The previous prime is 3003131042333. The next prime is 3003131042407. The reversal of 3003131042401 is 1042401313003.

3003131042401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3003131042401 - 2³³ = 2994541107809 is a prime.

It is a super-3 number, since 3×3003131042401³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3003131042407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9326493760 + ... + 9326494081.

It is an arithmetic number, because the mean of its divisors is an integer number (447671708208).

Almost surely, 2^{3003131042401} is an apocalyptic number.

It is an amenable number.

3003131042401 is a deficient number, since it is larger than the sum of its proper divisors (578242623263).

3003131042401 is a wasteful number, since it uses less digits than its factorization.

3003131042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18652987871.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3003131042401 its reverse (1042401313003), we get a palindrome (4045532355404).

The spelling of 3003131042401 in words is "three trillion, three billion, one hundred thirty-one million, forty-two thousand, four hundred one".