121112121313313 has 8 divisors (see below), whose sum is σ = 130503700011048. Its totient is φ = 111731294283264.

The previous prime is 121112121313307. The next prime is 121112121313327. The reversal of 121112121313313 is 313313121211121.

It can be written as a sum of positive squares in 4 ways, for example, as 763147257889 + 120348974055424 = 873583^2 + 10970368^2 .

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 121112121313313 - 2¹⁸ = 121112121051169 is a prime.

It is a super-2 number, since 2×121112121313313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121112121316313) 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, 2687893520 + ... + 2687938577.

It is an arithmetic number, because the mean of its divisors is an integer number (16312962501381).

Almost surely, 2^{121112121313313} is an apocalyptic number.

121112121313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121112121313313 is a deficient number, since it is larger than the sum of its proper divisors (9391578697735).

121112121313313 is a wasteful number, since it uses less digits than its factorization.

121112121313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375833843.

The product of its digits is 648, while the sum is 26.

Adding to 121112121313313 its reverse (313313121211121), we get a palindrome (434425242524434).

The spelling of 121112121313313 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred thirteen".