133400111101000 has 128 divisors (see below), whose sum is σ = 329037545491200. Its totient is φ = 50482081267200.

The previous prime is 133400111100953. The next prime is 133400111101027. The reversal of 133400111101000 is 101111004331.

133400111101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8984212 + ... + 18641788.

It is an arithmetic number, because the mean of its divisors is an integer number (2570605824150).

Almost surely, 2^{133400111101000} is an apocalyptic number.

133400111101000 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 133400111101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164518772745600).

133400111101000 is an abundant number, since it is smaller than the sum of its proper divisors (195637434390200).

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

133400111101000 is a wasteful number, since it uses less digits than its factorization.

133400111101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658344 (or 9658330 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 133400111101000 its reverse (101111004331), we get a palindrome (133501222105331).

The spelling of 133400111101000 in words is "one hundred thirty-three trillion, four hundred billion, one hundred eleven million, one hundred one thousand".