121321312320113 has 16 divisors (see below), whose sum is σ = 122190353182800. Its totient is φ = 120453014323200.

The previous prime is 121321312320107. The next prime is 121321312320119. The reversal of 121321312320113 is 311023213123121.

It is an interprime number because it is at equal distance from previous prime (121321312320107) and next prime (121321312320119).

It can be written as a sum of positive squares in 8 ways, for example, as 7065479661409 + 114255832658704 = 2658097^2 + 10689052^2 .

It is a cyclic number.

It is not a de Polignac number, because 121321312320113 - 2³⁶ = 121252592843377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121321312320119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4093008773 + ... + 4093038413.

It is an arithmetic number, because the mean of its divisors is an integer number (7636897073925).

Almost surely, 2^{121321312320113} is an apocalyptic number.

It is an amenable number.

121321312320113 is a deficient number, since it is larger than the sum of its proper divisors (869040862687).

121321312320113 is a wasteful number, since it uses less digits than its factorization.

121321312320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41188.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 121321312320113 its reverse (311023213123121), we get a palindrome (432344525443234).

The spelling of 121321312320113 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, three hundred twelve million, three hundred twenty thousand, one hundred thirteen".