1024131404221 has 8 divisors (see below), whose sum is σ = 1034298761400. Its totient is φ = 1014007967232.

The previous prime is 1024131404201. The next prime is 1024131404237. The reversal of 1024131404221 is 1224041314201.

It can be written as a sum of positive squares in 4 ways, for example, as 2151939321 + 1021979464900 = 46389^2 + 1010930^2 .

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 1024131404221 - 2⁹ = 1024131403709 is a prime.

It is a super-2 number, since 2×1024131404221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024131404201) 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, 10933180 + ... + 11026453.

It is an arithmetic number, because the mean of its divisors is an integer number (129287345175).

Almost surely, 2^{1024131404221} is an apocalyptic number.

It is an amenable number.

1024131404221 is a deficient number, since it is larger than the sum of its proper divisors (10167357179).

1024131404221 is a wasteful number, since it uses less digits than its factorization.

1024131404221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21960095.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1024131404221 its reverse (1224041314201), we get a palindrome (2248172718422).

The spelling of 1024131404221 in words is "one trillion, twenty-four billion, one hundred thirty-one million, four hundred four thousand, two hundred twenty-one".