133002011100 has 144 divisors (see below), whose sum is σ = 440994219008. Its totient is φ = 30317448960.

The previous prime is 133002011029. The next prime is 133002011101. The reversal of 133002011100 is 1110200331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002011101) 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, 684414 + ... + 856986.

Almost surely, 2^133002011100 is an apocalyptic number.

133002011100 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 133002011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220497109504).

133002011100 is an abundant number, since it is smaller than the sum of its proper divisors (307992207908).

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

133002011100 is a wasteful number, since it uses less digits than its factorization.

133002011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172964 (or 172957 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 133002011100 its reverse (1110200331), we get a palindrome (134112211431).

The spelling of 133002011100 in words is "one hundred thirty-three billion, two million, eleven thousand, one hundred".