10131030208001 has 2 divisors, whose sum is σ = 10131030208002. Its totient is φ = 10131030208000.

The previous prime is 10131030207959. The next prime is 10131030208007. The reversal of 10131030208001 is 10080203013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10077577230400 + 53452977601 = 3174520^2 + 231199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131030208001 - 2²⁶ = 10130963099137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131030208007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065515104000 + 5065515104001.

It is an arithmetic number, because the mean of its divisors is an integer number (5065515104001).

Almost surely, 2^{10131030208001} is an apocalyptic number.

It is an amenable number.

10131030208001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131030208001 is an equidigital number, since it uses as much as digits as its factorization.

10131030208001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10131030208001 in words is "ten trillion, one hundred thirty-one billion, thirty million, two hundred eight thousand, one".