134134111130100 has 288 divisors, whose sum is σ = 411406849526400. Its totient is φ = 33682085068800.

The previous prime is 134134111130099. The next prime is 134134111130161. The reversal of 134134111130100 is 1031111431431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1093937596 + ... + 1094060204.

It is an arithmetic number, because the mean of its divisors is an integer number (1428496005300).

Almost surely, 2^{134134111130100} is an apocalyptic number.

134134111130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134134111130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205703424763200).

134134111130100 is an abundant number, since it is smaller than the sum of its proper divisors (277272738396300).

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

134134111130100 is a wasteful number, since it uses less digits than its factorization.

134134111130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125763 (or 125756 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 134134111130100 its reverse (1031111431431), we get a palindrome (135165222561531).

The spelling of 134134111130100 in words is "one hundred thirty-four trillion, one hundred thirty-four billion, one hundred eleven million, one hundred thirty thousand, one hundred".