201334304314110 has 128 divisors (see below), whose sum is σ = 529806992292864. Its totient is φ = 48560757724160.

The previous prime is 201334304314043. The next prime is 201334304314111. The reversal of 201334304314110 is 11413403433102.

201334304314110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201334304314110³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201334304314111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97163287 + ... + 99213773.

It is an arithmetic number, because the mean of its divisors is an integer number (4139117127288).

Almost surely, 2^{201334304314110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201334304314110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264903496146432).

201334304314110 is an abundant number, since it is smaller than the sum of its proper divisors (328472687978754).

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

201334304314110 is a wasteful number, since it uses less digits than its factorization.

201334304314110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052018.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 201334304314110 its reverse (11413403433102), we get a palindrome (212747707747212).

The spelling of 201334304314110 in words is "two hundred one trillion, three hundred thirty-four billion, three hundred four million, three hundred fourteen thousand, one hundred ten".