133233111110100 has 144 divisors (see below), whose sum is σ = 393089690649600. Its totient is φ = 34831476405120.

The previous prime is 133233111109997. The next prime is 133233111110111. The reversal of 133233111110100 is 1011111332331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3759270 + ... + 16751069.

It is an arithmetic number, because the mean of its divisors is an integer number (2729789518400).

Almost surely, 2^{133233111110100} is an apocalyptic number.

133233111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133233111110100 is an abundant number, since it is smaller than the sum of its proper divisors (259856579539500).

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

133233111110100 is a wasteful number, since it uses less digits than its factorization.

133233111110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20510782 (or 20510775 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 133233111110100 its reverse (1011111332331), we get a palindrome (134244222442431).

The spelling of 133233111110100 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, one hundred eleven million, one hundred ten thousand, one hundred".