131012100013 has 2 divisors, whose sum is σ = 131012100014. Its totient is φ = 131012100012.

The previous prime is 131012099987. The next prime is 131012100029. The reversal of 131012100013 is 310001210131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92369189929 + 38642910084 = 303923^2 + 196578^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131012100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131012099966 and 131012100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131012100083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506050006 + 65506050007.

It is an arithmetic number, because the mean of its divisors is an integer number (65506050007).

Almost surely, 2^131012100013 is an apocalyptic number.

It is an amenable number.

131012100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131012100013 is an equidigital number, since it uses as much as digits as its factorization.

131012100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131012100013 its reverse (310001210131), we get a palindrome (441013310144).

The spelling of 131012100013 in words is "one hundred thirty-one billion, twelve million, one hundred thousand, thirteen".