3001131121001 has 8 divisors (see below), whose sum is σ = 3232002085704. Its totient is φ = 2770262259840.

The previous prime is 3001131120961. The next prime is 3001131121091. The reversal of 3001131121001 is 1001211311003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 446571427600 + 2554559693401 = 668260^2 + 1598299^2 .

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 3001131121001 - 2²⁶ = 3001064012137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001131121091) 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, 3687755 + ... + 4427391.

It is an arithmetic number, because the mean of its divisors is an integer number (404000260713).

Almost surely, 2^{3001131121001} is an apocalyptic number.

It is an amenable number.

3001131121001 is a deficient number, since it is larger than the sum of its proper divisors (230870964703).

3001131121001 is a wasteful number, since it uses less digits than its factorization.

3001131121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051771.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 3001131121001 its reverse (1001211311003), we get a palindrome (4002342432004).

The spelling of 3001131121001 in words is "three trillion, one billion, one hundred thirty-one million, one hundred twenty-one thousand, one".