10131313001 has 2 divisors, whose sum is σ = 10131313002. Its totient is φ = 10131313000.

The previous prime is 10131312991. The next prime is 10131313037. The reversal of 10131313001 is 10031313101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8593104601 + 1538208400 = 92699^2 + 39220^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131313001 - 2¹⁰ = 10131311977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10131313201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065656500 + 5065656501.

It is an arithmetic number, because the mean of its divisors is an integer number (5065656501).

Almost surely, 2^10131313001 is an apocalyptic number.

It is an amenable number.

10131313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131313001 is an equidigital number, since it uses as much as digits as its factorization.

10131313001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10131313001 its reverse (10031313101), we get a palindrome (20162626102).

The spelling of 10131313001 in words is "ten billion, one hundred thirty-one million, three hundred thirteen thousand, one".