133000101211120 has 480 divisors, whose sum is σ = 397464392525760. Its totient is φ = 40661854617600.

The previous prime is 133000101211097. The next prime is 133000101211121. The reversal of 133000101211120 is 21112101000331.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 133000101211094 and 133000101211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133000101211121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186539466 + ... + 187251094.

It is an arithmetic number, because the mean of its divisors is an integer number (828050817762).

Almost surely, 2^{133000101211120} is an apocalyptic number.

133000101211120 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 133000101211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198732196262880).

133000101211120 is an abundant number, since it is smaller than the sum of its proper divisors (264464291314640).

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

133000101211120 is a wasteful number, since it uses less digits than its factorization.

133000101211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711745 (or 711708 counting only the distinct ones).

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

Adding to 133000101211120 its reverse (21112101000331), we get a palindrome (154112202211451).

The spelling of 133000101211120 in words is "one hundred thirty-three trillion, one hundred one million, two hundred eleven thousand, one hundred twenty".