114314133344013 has 8 divisors (see below), whose sum is σ = 169354271620800. Its totient is φ = 76209422229324.

The previous prime is 114314133343979. The next prime is 114314133344063. The reversal of 114314133344013 is 310443331413411.

114314133344013 is a `hidden beast` number, since 1 + 1 + 4 + 314 + 1 + 3 + 334 + 4 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 114314133344013 - 2³⁴ = 114296953474829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114314133344063) 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, 2116928395233 + ... + 2116928395286.

It is an arithmetic number, because the mean of its divisors is an integer number (21169283952600).

Almost surely, 2^{114314133344013} is an apocalyptic number.

It is an amenable number.

114314133344013 is a deficient number, since it is larger than the sum of its proper divisors (55040138276787).

114314133344013 is an equidigital number, since it uses as much as digits as its factorization.

114314133344013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233856790528 (or 4233856790522 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 114314133344013 its reverse (310443331413411), we get a palindrome (424757464757424).

The spelling of 114314133344013 in words is "one hundred fourteen trillion, three hundred fourteen billion, one hundred thirty-three million, three hundred forty-four thousand, thirteen".