133030311011100 has 216 divisors, whose sum is σ = 435118679809632. Its totient is φ = 33931342579200.

The previous prime is 133030311011071. The next prime is 133030311011111. The reversal of 133030311011100 is 1110113030331.

133030311011100 is a `hidden beast` number, since 1 + 330 + 3 + 0 + 311 + 0 + 11 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 873898594 + ... + 874050806.

It is an arithmetic number, because the mean of its divisors is an integer number (2014438332452).

Almost surely, 2^{133030311011100} is an apocalyptic number.

133030311011100 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 133030311011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217559339904816).

133030311011100 is an abundant number, since it is smaller than the sum of its proper divisors (302088368798532).

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

133030311011100 is a wasteful number, since it uses less digits than its factorization.

133030311011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194477 (or 194467 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 133030311011100 its reverse (1110113030331), we get a palindrome (134140424041431).

The spelling of 133030311011100 in words is "one hundred thirty-three trillion, thirty billion, three hundred eleven million, eleven thousand, one hundred".