13131300101 has 2 divisors, whose sum is σ = 13131300102. Its totient is φ = 13131300100.

The previous prime is 13131300073. The next prime is 13131300109. The reversal of 13131300101 is 10100313131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11580988225 + 1550311876 = 107615^2 + 39374^2 .

It is an emirp because it is prime and its reverse (10100313131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13131300101 is a prime.

It is a super-2 number, since 2×13131300101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131300109) 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, 6565650050 + 6565650051.

It is an arithmetic number, because the mean of its divisors is an integer number (6565650051).

Almost surely, 2^13131300101 is an apocalyptic number.

It is an amenable number.

13131300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131300101 is an equidigital number, since it uses as much as digits as its factorization.

13131300101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13131300101 its reverse (10100313131), we get a palindrome (23231613232).

The spelling of 13131300101 in words is "thirteen billion, one hundred thirty-one million, three hundred thousand, one hundred one".