10131024343201 has 2 divisors, whose sum is σ = 10131024343202. Its totient is φ = 10131024343200.

The previous prime is 10131024343183. The next prime is 10131024343213. The reversal of 10131024343201 is 10234342013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7729934636176 + 2401089707025 = 2780276^2 + 1549545^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131024343201 - 2⁷ = 10131024343073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131024343301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065512171600 + 5065512171601.

It is an arithmetic number, because the mean of its divisors is an integer number (5065512171601).

Almost surely, 2^{10131024343201} is an apocalyptic number.

It is an amenable number.

10131024343201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131024343201 is an equidigital number, since it uses as much as digits as its factorization.

10131024343201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10131024343201 its reverse (10234342013101), we get a palindrome (20365366356302).

The spelling of 10131024343201 in words is "ten trillion, one hundred thirty-one billion, twenty-four million, three hundred forty-three thousand, two hundred one".