133321113310100 has 36 divisors (see below), whose sum is σ = 289314858434784. Its totient is φ = 53326962826080.

The previous prime is 133321113310093. The next prime is 133321113310109. The reversal of 133321113310100 is 1013311123331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133321113310109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14912522 + ... + 22113921.

Almost surely, 2^{133321113310100} is an apocalyptic number.

133321113310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133321113310100 is an abundant number, since it is smaller than the sum of its proper divisors (155993745124684).

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

133321113310100 is a wasteful number, since it uses less digits than its factorization.

133321113310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37062464 (or 37062457 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 133321113310100 its reverse (1013311123331), we get a palindrome (134334424433431).

The spelling of 133321113310100 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, one hundred thirteen million, three hundred ten thousand, one hundred".