201305545503102 has 96 divisors (see below), whose sum is σ = 459646152615936. Its totient is φ = 63546900120000.

The previous prime is 201305545503071. The next prime is 201305545503103.

201305545503102 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 5 + 5 + 45 + 503 + 102 = 666.

201305545503102 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×201305545503102³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201305545503103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1925524243 + ... + 1925628785.

It is an arithmetic number, because the mean of its divisors is an integer number (4787980756416).

Almost surely, 2^{201305545503102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201305545503102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229823076307968).

201305545503102 is an abundant number, since it is smaller than the sum of its proper divisors (258340607112834).

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

201305545503102 is a wasteful number, since it uses less digits than its factorization.

201305545503102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150726 (or 150723 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 201305545503102 in words is "two hundred one trillion, three hundred five billion, five hundred forty-five million, five hundred three thousand, one hundred two".