133313231201100 has 144 divisors (see below), whose sum is σ = 386337031909920. Its totient is φ = 35493302476800.

The previous prime is 133313231201081. The next prime is 133313231201113. The reversal of 133313231201100 is 1102132313331.

It is a super-2 number, since 2×133313231201100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2031283086 + ... + 2031348714.

It is an arithmetic number, because the mean of its divisors is an integer number (2682896054930).

Almost surely, 2^{133313231201100} is an apocalyptic number.

133313231201100 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 133313231201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193168515954960).

133313231201100 is an abundant number, since it is smaller than the sum of its proper divisors (253023800708820).

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

133313231201100 is a wasteful number, since it uses less digits than its factorization.

133313231201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76380 (or 76373 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133313231201100 its reverse (1102132313331), we get a palindrome (134415363514431).

The spelling of 133313231201100 in words is "one hundred thirty-three trillion, three hundred thirteen billion, two hundred thirty-one million, two hundred one thousand, one hundred".