102131142013 has 2 divisors, whose sum is σ = 102131142014. Its totient is φ = 102131142012.

The previous prime is 102131142007. The next prime is 102131142023. The reversal of 102131142013 is 310241131201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85321241604 + 16809900409 = 292098^2 + 129653^2 .

It is an emirp because it is prime and its reverse (310241131201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102131142013 - 2⁹ = 102131141501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102131142023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065571006 + 51065571007.

It is an arithmetic number, because the mean of its divisors is an integer number (51065571007).

Almost surely, 2^102131142013 is an apocalyptic number.

It is an amenable number.

102131142013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131142013 is an equidigital number, since it uses as much as digits as its factorization.

102131142013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102131142013 its reverse (310241131201), we get a palindrome (412372273214).

The spelling of 102131142013 in words is "one hundred two billion, one hundred thirty-one million, one hundred forty-two thousand, thirteen".