121014322000013 has 8 divisors (see below), whose sum is σ = 130323455793048. Its totient is φ = 111705236748864.

The previous prime is 121014322000001. The next prime is 121014322000037. The reversal of 121014322000013 is 310000223410121.

It can be written as a sum of positive squares in 4 ways, for example, as 1858278796969 + 119156043203044 = 1363187^2 + 10915862^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121014322000013 - 2⁴ = 121014321999997 is a prime.

It is a super-2 number, since 2×121014322000013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121014322000213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6873206 + ... + 17007927.

It is an arithmetic number, because the mean of its divisors is an integer number (16290431974131).

Almost surely, 2^{121014322000013} is an apocalyptic number.

121014322000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121014322000013 is a deficient number, since it is larger than the sum of its proper divisors (9309133793035).

121014322000013 is a wasteful number, since it uses less digits than its factorization.

121014322000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24270943.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 121014322000013 its reverse (310000223410121), we get a palindrome (431014545410134).

The spelling of 121014322000013 in words is "one hundred twenty-one trillion, fourteen billion, three hundred twenty-two million, thirteen", and thus it is an aban number.