133011013103100 has 324 divisors, whose sum is σ = 466029821635560. Its totient is φ = 31698565536000.

The previous prime is 133011013103047. The next prime is 133011013103119. The reversal of 133011013103100 is 1301310110331.

133011013103100 is a `hidden beast` number, since 1 + 3 + 30 + 1 + 10 + 1 + 310 + 310 + 0 = 666.

It is a super-2 number, since 2×133011013103100² (a number of 29 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3925791 + ... + 16775990.

Almost surely, 2^{133011013103100} is an apocalyptic number.

133011013103100 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 133011013103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233014910817780).

133011013103100 is an abundant number, since it is smaller than the sum of its proper divisors (333018808532460).

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

133011013103100 is a wasteful number, since it uses less digits than its factorization.

133011013103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20701882 (or 20701861 counting only the distinct ones).

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

Adding to 133011013103100 its reverse (1301310110331), we get a palindrome (134312323213431).

The spelling of 133011013103100 in words is "one hundred thirty-three trillion, eleven billion, thirteen million, one hundred three thousand, one hundred".