320414135121 has 6 divisors (see below), whose sum is σ = 462820417410. Its totient is φ = 213609423408.

The previous prime is 320414135099. The next prime is 320414135123. The reversal of 320414135121 is 121531414023.

320414135121 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 141 + 3 + 512 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 303258374721 + 17155760400 = 550689^2 + 130980^2 .

It is not a de Polignac number, because 320414135121 - 2⁹ = 320414134609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320414135123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17800785276 + ... + 17800785293.

It is an arithmetic number, because the mean of its divisors is an integer number (77136736235).

Almost surely, 2^320414135121 is an apocalyptic number.

It is an amenable number.

320414135121 is a deficient number, since it is larger than the sum of its proper divisors (142406282289).

320414135121 is a wasteful number, since it uses less digits than its factorization.

320414135121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35601570575 (or 35601570572 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 320414135121 its reverse (121531414023), we get a palindrome (441945549144).

It can be divided in two parts, 320414 and 135121, that added together give a triangular number (455535 = T₉₅₄).

The spelling of 320414135121 in words is "three hundred twenty billion, four hundred fourteen million, one hundred thirty-five thousand, one hundred twenty-one".