1024131404201 has 2 divisors, whose sum is σ = 1024131404202. Its totient is φ = 1024131404200.

The previous prime is 1024131404171. The next prime is 1024131404237. The reversal of 1024131404201 is 1024041314201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 815372880400 + 208758523801 = 902980^2 + 456901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1024131404201 is a prime.

It is not a weakly prime, because it can be changed into another prime (1024131454201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512065702100 + 512065702101.

It is an arithmetic number, because the mean of its divisors is an integer number (512065702101).

Almost surely, 2^{1024131404201} is an apocalyptic number.

It is an amenable number.

1024131404201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024131404201 is an equidigital number, since it uses as much as digits as its factorization.

1024131404201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1024131404201 its reverse (1024041314201), we get a palindrome (2048172718402).

The spelling of 1024131404201 in words is "one trillion, twenty-four billion, one hundred thirty-one million, four hundred four thousand, two hundred one".