4113314133114 has 64 divisors (see below), whose sum is σ = 8826133413888. Its totient is φ = 1274781974400.

The previous prime is 4113314133109. The next prime is 4113314133119.

4113314133114 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4113314133109) and next prime (4113314133119).

It is a super-2 number, since 2×4113314133114² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4113314133119) 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 31 ways as a sum of consecutive naturals, for example, 192007 + ... + 2874629.

It is an arithmetic number, because the mean of its divisors is an integer number (137908334592).

Almost surely, 2^{4113314133114} is an apocalyptic number.

4113314133114 is an abundant number, since it is smaller than the sum of its proper divisors (4712819280774).

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

4113314133114 is a wasteful number, since it uses less digits than its factorization.

4113314133114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682963.

The product of its digits is 5184, while the sum is 30.

The spelling of 4113314133114 in words is "four trillion, one hundred thirteen billion, three hundred fourteen million, one hundred thirty-three thousand, one hundred fourteen".