121142035124513 has 32 divisors (see below), whose sum is σ = 132517099008000. Its totient is φ = 110077295763456.

The previous prime is 121142035124483. The next prime is 121142035124573. The reversal of 121142035124513 is 315421530241121.

It is a cyclic number.

It is not a de Polignac number, because 121142035124513 - 2¹⁰ = 121142035123489 is a prime.

It is a super-3 number, since 3×121142035124513³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121142035124573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132236045 + ... + 133148997.

It is an arithmetic number, because the mean of its divisors is an integer number (4141159344000).

Almost surely, 2^{121142035124513} is an apocalyptic number.

121142035124513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121142035124513 is a deficient number, since it is larger than the sum of its proper divisors (11375063883487).

121142035124513 is a wasteful number, since it uses less digits than its factorization.

121142035124513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913721.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 121142035124513 its reverse (315421530241121), we get a palindrome (436563565365634).

The spelling of 121142035124513 in words is "one hundred twenty-one trillion, one hundred forty-two billion, thirty-five million, one hundred twenty-four thousand, five hundred thirteen".