114513205445321 has 2 divisors, whose sum is σ = 114513205445322. Its totient is φ = 114513205445320.

The previous prime is 114513205445311. The next prime is 114513205445329. The reversal of 114513205445321 is 123544502315411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114420674497600 + 92530947721 = 10696760^2 + 304189^2 .

It is an emirp because it is prime and its reverse (123544502315411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114513205445321 is a prime.

It is a super-2 number, since 2×114513205445321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114513205445329) 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 as a sum of consecutive naturals, namely, 57256602722660 + 57256602722661.

It is an arithmetic number, because the mean of its divisors is an integer number (57256602722661).

Almost surely, 2^{114513205445321} is an apocalyptic number.

It is an amenable number.

114513205445321 is a deficient number, since it is larger than the sum of its proper divisors (1).

114513205445321 is an equidigital number, since it uses as much as digits as its factorization.

114513205445321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 114513205445321 in words is "one hundred fourteen trillion, five hundred thirteen billion, two hundred five million, four hundred forty-five thousand, three hundred twenty-one".