114936835129813 has 2 divisors, whose sum is σ = 114936835129814. Its totient is φ = 114936835129812.

The previous prime is 114936835129793. The next prime is 114936835129817. The reversal of 114936835129813 is 318921538639411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59461479610129 + 55475355519684 = 7711127^2 + 7448178^2 .

It is an emirp because it is prime and its reverse (318921538639411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114936835129813 - 2³³ = 114928245195221 is a prime.

It is a super-2 number, since 2×114936835129813² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114936835129817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57468417564906 + 57468417564907.

It is an arithmetic number, because the mean of its divisors is an integer number (57468417564907).

Almost surely, 2^{114936835129813} is an apocalyptic number.

It is an amenable number.

114936835129813 is a deficient number, since it is larger than the sum of its proper divisors (1).

114936835129813 is an equidigital number, since it uses as much as digits as its factorization.

114936835129813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33592320, while the sum is 64.

The spelling of 114936835129813 in words is "one hundred fourteen trillion, nine hundred thirty-six billion, eight hundred thirty-five million, one hundred twenty-nine thousand, eight hundred thirteen".