2314211210401 has 8 divisors (see below), whose sum is σ = 2314751462408. Its totient is φ = 2313671040000.

The previous prime is 2314211210393. The next prime is 2314211210413. The reversal of 2314211210401 is 1040121124132.

It can be written as a sum of positive squares in 4 ways, for example, as 330688253025 + 1983522957376 = 575055^2 + 1408376^2 .

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 2314211210401 - 2³ = 2314211210393 is a prime.

It is a super-3 number, since 3×2314211210401³ (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 (2314211240401) 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, 132984301 + ... + 133001701.

It is an arithmetic number, because the mean of its divisors is an integer number (289343932801).

Almost surely, 2^{2314211210401} is an apocalyptic number.

It is an amenable number.

2314211210401 is a deficient number, since it is larger than the sum of its proper divisors (540252007).

2314211210401 is a wasteful number, since it uses less digits than its factorization.

2314211210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40803.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 2314211210401 its reverse (1040121124132), we get a palindrome (3354332334533).

The spelling of 2314211210401 in words is "two trillion, three hundred fourteen billion, two hundred eleven million, two hundred ten thousand, four hundred one".