153364534131013 has 2 divisors, whose sum is σ = 153364534131014. Its totient is φ = 153364534131012.

The previous prime is 153364534130963. The next prime is 153364534131023. The reversal of 153364534131013 is 310131435463351.

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., 105252456784644 + 48112077346369 = 10259262^2 + 6936287^2 .

It is an emirp because it is prime and its reverse (310131435463351) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 153364534131013 - 2⁴⁵ = 118180162042181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153364534131023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76682267065506 + 76682267065507.

It is an arithmetic number, because the mean of its divisors is an integer number (76682267065507).

Almost surely, 2^{153364534131013} is an apocalyptic number.

It is an amenable number.

153364534131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

153364534131013 is an equidigital number, since it uses as much as digits as its factorization.

153364534131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 583200, while the sum is 43.

Adding to 153364534131013 its reverse (310131435463351), we get a palindrome (463495969594364).

The spelling of 153364534131013 in words is "one hundred fifty-three trillion, three hundred sixty-four billion, five hundred thirty-four million, one hundred thirty-one thousand, thirteen".