133113000120 has 128 divisors (see below), whose sum is σ = 407079432000. Its totient is φ = 34809442304.

The previous prime is 133113000107. The next prime is 133113000127. The reversal of 133113000120 is 21000311331.

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 133113000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113000127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16741906 + ... + 16749854.

Almost surely, 2^133113000120 is an apocalyptic number.

133113000120 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 133113000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203539716000).

133113000120 is an abundant number, since it is smaller than the sum of its proper divisors (273966431880).

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

133113000120 is a wasteful number, since it uses less digits than its factorization.

133113000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649 (or 10645 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133113000120 its reverse (21000311331), we get a palindrome (154113311451).

The spelling of 133113000120 in words is "one hundred thirty-three billion, one hundred thirteen million, one hundred twenty", and thus it is an aban number.