134312102100 has 432 divisors, whose sum is σ = 486454864896. Its totient is φ = 31864752000.

The previous prime is 134312102077. The next prime is 134312102161. The reversal of 134312102100 is 1201213431.

134312102100 is a `hidden beast` number, since 1 + 3 + 431 + 21 + 0 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12557755 + ... + 12568445.

It is an arithmetic number, because the mean of its divisors is an integer number (1126052928).

Almost surely, 2^134312102100 is an apocalyptic number.

134312102100 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 134312102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243227432448).

134312102100 is an abundant number, since it is smaller than the sum of its proper divisors (352142762796).

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

134312102100 is a wasteful number, since it uses less digits than its factorization.

134312102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 134312102100 its reverse (1201213431), we get a palindrome (135513315531).

The spelling of 134312102100 in words is "one hundred thirty-four billion, three hundred twelve million, one hundred two thousand, one hundred".