133301313120 has 192 divisors, whose sum is σ = 423550632960. Its totient is φ = 35239292928.

The previous prime is 133301313109. The next prime is 133301313127. The reversal of 133301313120 is 21313103331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133301313127) 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, 26727267 + ... + 26732253.

It is an arithmetic number, because the mean of its divisors is an integer number (2205992880).

Almost surely, 2^133301313120 is an apocalyptic number.

133301313120 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 133301313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211775316480).

133301313120 is an abundant number, since it is smaller than the sum of its proper divisors (290249319840).

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

133301313120 is a wasteful number, since it uses less digits than its factorization.

133301313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133301313120 its reverse (21313103331), we get a palindrome (154614416451).

The spelling of 133301313120 in words is "one hundred thirty-three billion, three hundred one million, three hundred thirteen thousand, one hundred twenty".