114214202201313 has 12 divisors (see below), whose sum is σ = 164976163445028. Its totient is φ = 76142758268160.

The previous prime is 114214202201249. The next prime is 114214202201353. The reversal of 114214202201313 is 313102202412411.

114214202201313 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 420 + 2 + 201 + 31 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80635155765264 + 33579046436049 = 8979708^2 + 5794743^2 .

It is not a de Polignac number, because 114214202201313 - 2⁶ = 114214202201249 is a prime.

It is a super-2 number, since 2×114214202201313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114214202201353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25670853 + ... + 29789613.

It is an arithmetic number, because the mean of its divisors is an integer number (13748013620419).

Almost surely, 2^{114214202201313} is an apocalyptic number.

It is an amenable number.

114214202201313 is a deficient number, since it is larger than the sum of its proper divisors (50761961243715).

114214202201313 is a wasteful number, since it uses less digits than its factorization.

114214202201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7199904 (or 7199901 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114214202201313 its reverse (313102202412411), we get a palindrome (427316404613724).

The spelling of 114214202201313 in words is "one hundred fourteen trillion, two hundred fourteen billion, two hundred two million, two hundred one thousand, three hundred thirteen".