10114114123314 has 64 divisors (see below), whose sum is σ = 23588585337600. Its totient is φ = 3206149537536.

The previous prime is 10114114123279. The next prime is 10114114123367. The reversal of 10114114123314 is 41332141141101.

10114114123314 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 411 + 4 + 1 + 233 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23320999 + ... + 23750730.

It is an arithmetic number, because the mean of its divisors is an integer number (368571645900).

Almost surely, 2^{10114114123314} is an apocalyptic number.

10114114123314 is an abundant number, since it is smaller than the sum of its proper divisors (13474471214286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10114114123314 is a wasteful number, since it uses less digits than its factorization.

10114114123314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47071936 (or 47071930 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10114114123314 its reverse (41332141141101), we get a palindrome (51446255264415).

The spelling of 10114114123314 in words is "ten trillion, one hundred fourteen billion, one hundred fourteen million, one hundred twenty-three thousand, three hundred fourteen".