100131001013 has 2 divisors, whose sum is σ = 100131001014. Its totient is φ = 100131001012.

The previous prime is 100131000997. The next prime is 100131001073. The reversal of 100131001013 is 310100131001.

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., 69494449924 + 30636551089 = 263618^2 + 175033^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131001013 - 2⁴ = 100131000997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100131000985 and 100131001003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131001073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065500506 + 50065500507.

It is an arithmetic number, because the mean of its divisors is an integer number (50065500507).

Almost surely, 2^100131001013 is an apocalyptic number.

It is an amenable number.

100131001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131001013 is an equidigital number, since it uses as much as digits as its factorization.

100131001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100131001013 its reverse (310100131001), we get a palindrome (410231132014).

The spelling of 100131001013 in words is "one hundred billion, one hundred thirty-one million, one thousand, thirteen".