201333414332120 has 64 divisors (see below), whose sum is σ = 517715718177600. Its totient is φ = 69028435975680.

The previous prime is 201333414332117. The next prime is 201333414332137. The reversal of 201333414332120 is 21233414333102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220629590 + ... + 221540250.

It is an arithmetic number, because the mean of its divisors is an integer number (8089308096525).

Almost surely, 2^{201333414332120} is an apocalyptic number.

201333414332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201333414332120 is an abundant number, since it is smaller than the sum of its proper divisors (316382303845480).

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

201333414332120 is a wasteful number, since it uses less digits than its factorization.

201333414332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700268 (or 1700264 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 201333414332120 its reverse (21233414333102), we get a palindrome (222566828665222).

The spelling of 201333414332120 in words is "two hundred one trillion, three hundred thirty-three billion, four hundred fourteen million, three hundred thirty-two thousand, one hundred twenty".