133335302242100 has 288 divisors, whose sum is σ = 339698257920000. Its totient is φ = 44479142023680.

The previous prime is 133335302242091. The next prime is 133335302242111. The reversal of 133335302242100 is 1242203533331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4709982746 + ... + 4710011054.

It is an arithmetic number, because the mean of its divisors is an integer number (1179507840000).

Almost surely, 2^{133335302242100} is an apocalyptic number.

133335302242100 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 133335302242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169849128960000).

133335302242100 is an abundant number, since it is smaller than the sum of its proper divisors (206362955677900).

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

133335302242100 is a wasteful number, since it uses less digits than its factorization.

133335302242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29215 (or 29208 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 133335302242100 its reverse (1242203533331), we get a palindrome (134577505775431).

The spelling of 133335302242100 in words is "one hundred thirty-three trillion, three hundred thirty-five billion, three hundred two million, two hundred forty-two thousand, one hundred".