13131313314114 has 128 divisors (see below), whose sum is σ = 27357040465920. Its totient is φ = 4199080241664.

The previous prime is 13131313314089. The next prime is 13131313314127. The reversal of 13131313314114 is 41141331313131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3360968949 + ... + 3360972855.

It is an arithmetic number, because the mean of its divisors is an integer number (213726878640).

Almost surely, 2^{13131313314114} is an apocalyptic number.

13131313314114 is an abundant number, since it is smaller than the sum of its proper divisors (14225727151806).

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

13131313314114 is a wasteful number, since it uses less digits than its factorization.

13131313314114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984.

The product of its digits is 3888, while the sum is 30.

Adding to 13131313314114 its reverse (41141331313131), we get a palindrome (54272644627245).

The spelling of 13131313314114 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred fourteen thousand, one hundred fourteen".