101143131413 has 2 divisors, whose sum is σ = 101143131414. Its totient is φ = 101143131412.

The previous prime is 101143131409. The next prime is 101143131449. The reversal of 101143131413 is 314131341101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101138628529 + 4502884 = 318023^2 + 2122^2 .

It is a cyclic number.

It is not a de Polignac number, because 101143131413 - 2² = 101143131409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101143131013) 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, 50571565706 + 50571565707.

It is an arithmetic number, because the mean of its divisors is an integer number (50571565707).

Almost surely, 2^101143131413 is an apocalyptic number.

It is an amenable number.

101143131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101143131413 is an equidigital number, since it uses as much as digits as its factorization.

101143131413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101143131413 its reverse (314131341101), we get a palindrome (415274472514).

The spelling of 101143131413 in words is "one hundred one billion, one hundred forty-three million, one hundred thirty-one thousand, four hundred thirteen".