103442131034009 has 2 divisors, whose sum is σ = 103442131034010. Its totient is φ = 103442131034008.

The previous prime is 103442131033979. The next prime is 103442131034029. The reversal of 103442131034009 is 900430131244301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57669261264784 + 45772869769225 = 7594028^2 + 6765565^2 .

It is a cyclic number.

It is not a de Polignac number, because 103442131034009 - 2²⁸ = 103441862598553 is a prime.

It is a super-3 number, since 3×103442131034009³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103442131034009.

It is not a weakly prime, because it can be changed into another prime (103442131034029) 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, 51721065517004 + 51721065517005.

It is an arithmetic number, because the mean of its divisors is an integer number (51721065517005).

Almost surely, 2^{103442131034009} is an apocalyptic number.

It is an amenable number.

103442131034009 is a deficient number, since it is larger than the sum of its proper divisors (1).

103442131034009 is an equidigital number, since it uses as much as digits as its factorization.

103442131034009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 103442131034009 in words is "one hundred three trillion, four hundred forty-two billion, one hundred thirty-one million, thirty-four thousand, nine".