133131021120 has 224 divisors, whose sum is σ = 470109133440. Its totient is φ = 35467407360.

The previous prime is 133131021119. The next prime is 133131021167. The reversal of 133131021120 is 21120131331.

133131021120 is a `hidden beast` number, since 1 + 331 + 310 + 2 + 1 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133131021093 and 133131021102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9695860 + ... + 9709580.

Almost surely, 2^133131021120 is an apocalyptic number.

133131021120 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 133131021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235054566720).

133131021120 is an abundant number, since it is smaller than the sum of its proper divisors (336978112320).

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

133131021120 is a wasteful number, since it uses less digits than its factorization.

133131021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14870 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133131021120 its reverse (21120131331), we get a palindrome (154251152451).

The spelling of 133131021120 in words is "one hundred thirty-three billion, one hundred thirty-one million, twenty-one thousand, one hundred twenty".