133102110130000 has 1600 divisors, whose sum is σ = 398940506173440. Its totient is φ = 42435993600000.

The previous prime is 133102110129929. The next prime is 133102110130007. The reversal of 133102110130000 is 31011201331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133102110130007) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 154950069571 + ... + 154950070429.

Almost surely, 2^{133102110130000} is an apocalyptic number.

133102110130000 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 133102110130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199470253086720).

133102110130000 is an abundant number, since it is smaller than the sum of its proper divisors (265838396043440).

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

133102110130000 is a wasteful number, since it uses less digits than its factorization.

133102110130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 133102110130000 its reverse (31011201331), we get a palindrome (133133121331331).

The spelling of 133102110130000 in words is "one hundred thirty-three trillion, one hundred two billion, one hundred ten million, one hundred thirty thousand".