2331121144001 has 8 divisors (see below), whose sum is σ = 2527286735400. Its totient is φ = 2137362492672.

The previous prime is 2331121143973. The next prime is 2331121144039. The reversal of 2331121144001 is 1004411211332.

It can be written as a sum of positive squares in 4 ways, for example, as 6472041601 + 2324649102400 = 80449^2 + 1524680^2 .

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 2331121144001 - 2³⁸ = 2056243237057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2331121144081) 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, 601733000 + ... + 601736873.

It is an arithmetic number, because the mean of its divisors is an integer number (315910841925).

Almost surely, 2^{2331121144001} is an apocalyptic number.

It is an amenable number.

2331121144001 is a deficient number, since it is larger than the sum of its proper divisors (196165591399).

2331121144001 is a wasteful number, since it uses less digits than its factorization.

2331121144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203470035.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 2331121144001 its reverse (1004411211332), we get a palindrome (3335532355333).

The spelling of 2331121144001 in words is "two trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred forty-four thousand, one".