133001013201100 has 144 divisors (see below), whose sum is σ = 316222817381856. Its totient is φ = 48153388288000.

The previous prime is 133001013201073. The next prime is 133001013201103. The reversal of 133001013201100 is 1102310100331.

It is not an unprimeable number, because it can be changed into a prime (133001013201103) 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, 341765832 + ... + 342154768.

It is an arithmetic number, because the mean of its divisors is an integer number (2195991787374).

Almost surely, 2^{133001013201100} is an apocalyptic number.

133001013201100 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 133001013201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158111408690928).

133001013201100 is an abundant number, since it is smaller than the sum of its proper divisors (183221804180756).

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

133001013201100 is a wasteful number, since it uses less digits than its factorization.

133001013201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390316 (or 390309 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 133001013201100 its reverse (1102310100331), we get a palindrome (134103323301431).

The spelling of 133001013201100 in words is "one hundred thirty-three trillion, one billion, thirteen million, two hundred one thousand, one hundred".