134312220324100 has 216 divisors, whose sum is σ = 365139079243848. Its totient is φ = 42505685913600.

The previous prime is 134312220324067. The next prime is 134312220324127. The reversal of 134312220324100 is 1423022213431.

It can be written as a sum of positive squares in 12 ways, for example, as 122891281181956 + 11420939142144 = 11085634^2 + 3379488^2 .

It is a super-2 number, since 2×134312220324100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2239216110 + ... + 2239276090.

It is an arithmetic number, because the mean of its divisors is an integer number (1690458700203).

Almost surely, 2^{134312220324100} is an apocalyptic number.

134312220324100 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 134312220324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182569539621924).

134312220324100 is an abundant number, since it is smaller than the sum of its proper divisors (230826858919748).

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

134312220324100 is a wasteful number, since it uses less digits than its factorization.

134312220324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95175 (or 95161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 134312220324100 its reverse (1423022213431), we get a palindrome (135735242537531).

The spelling of 134312220324100 in words is "one hundred thirty-four trillion, three hundred twelve billion, two hundred twenty million, three hundred twenty-four thousand, one hundred".