133100311010100 has 288 divisors, whose sum is σ = 455330070343680. Its totient is φ = 29371589936640.

The previous prime is 133100311010059. The next prime is 133100311010119. The reversal of 133100311010100 is 1010113001331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133100311010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 859038837 + ... + 859193763.

Almost surely, 2^{133100311010100} is an apocalyptic number.

133100311010100 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 133100311010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227665035171840).

133100311010100 is an abundant number, since it is smaller than the sum of its proper divisors (322229759333580).

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

133100311010100 is a wasteful number, since it uses less digits than its factorization.

133100311010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169087 (or 169080 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 133100311010100 its reverse (1010113001331), we get a palindrome (134110424011431).

The spelling of 133100311010100 in words is "one hundred thirty-three trillion, one hundred billion, three hundred eleven million, ten thousand, one hundred".