2231305130401 has 8 divisors (see below), whose sum is σ = 2240020051880. Its totient is φ = 2222602599168.

The previous prime is 2231305130387. The next prime is 2231305130407. The reversal of 2231305130401 is 1040315031322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 403809411600 + 1827495718801 = 635460^2 + 1351849^2 .

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 2231305130401 - 2⁷ = 2231305130273 is a prime.

It is a super-3 number, since 3×2231305130401³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2231305130407) 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, 2736606 + ... + 3457111.

It is an arithmetic number, because the mean of its divisors is an integer number (280002506485).

Almost surely, 2^{2231305130401} is an apocalyptic number.

It is an amenable number.

2231305130401 is a deficient number, since it is larger than the sum of its proper divisors (8714921479).

2231305130401 is a wasteful number, since it uses less digits than its factorization.

2231305130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195123.

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 2231305130401 in words is "two trillion, two hundred thirty-one billion, three hundred five million, one hundred thirty thousand, four hundred one".