13131642114 has 48 divisors (see below), whose sum is σ = 29209549824. Its totient is φ = 4261118400.

The previous prime is 13131642109. The next prime is 13131642187. The reversal of 13131642114 is 41124613131.

13131642114 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 642 + 1 + 14 = 666.

It is a super-3 number, since 3×13131642114³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322479 + ... + 360909.

It is an arithmetic number, because the mean of its divisors is an integer number (608532288).

Almost surely, 2^13131642114 is an apocalyptic number.

13131642114 is an abundant number, since it is smaller than the sum of its proper divisors (16077907710).

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

13131642114 is a wasteful number, since it uses less digits than its factorization.

13131642114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38943 (or 38940 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The spelling of 13131642114 in words is "thirteen billion, one hundred thirty-one million, six hundred forty-two thousand, one hundred fourteen".