121122130122313 has 8 divisors (see below), whose sum is σ = 122853816165960. Its totient is φ = 119401725421440.

The previous prime is 121122130122289. The next prime is 121122130122337. The reversal of 121122130122313 is 313221031221121.

It is an interprime number because it is at equal distance from previous prime (121122130122289) and next prime (121122130122337).

It can be written as a sum of positive squares in 4 ways, for example, as 94323565569024 + 26798564553289 = 9712032^2 + 5176733^2 .

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 121122130122313 - 2⁵ = 121122130122281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121122130122613) 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, 2820314068 + ... + 2820357013.

It is an arithmetic number, because the mean of its divisors is an integer number (15356727020745).

Almost surely, 2^{121122130122313} is an apocalyptic number.

It is an amenable number.

121122130122313 is a deficient number, since it is larger than the sum of its proper divisors (1731686043647).

121122130122313 is a wasteful number, since it uses less digits than its factorization.

121122130122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640671387.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 121122130122313 its reverse (313221031221121), we get a palindrome (434343161343434).

The spelling of 121122130122313 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred thirty million, one hundred twenty-two thousand, three hundred thirteen".