133120312000 has 224 divisors, whose sum is σ = 361745564544. Its totient is φ = 48222720000.

The previous prime is 133120311983. The next prime is 133120312021. The reversal of 133120312000 is 213021331.

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

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, 5499925 + ... + 5524075.

It is an arithmetic number, because the mean of its divisors is an integer number (1614935556).

Almost surely, 2^133120312000 is an apocalyptic number.

133120312000 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 133120312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180872782272).

133120312000 is an abundant number, since it is smaller than the sum of its proper divisors (228625252544).

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

133120312000 is a wasteful number, since it uses less digits than its factorization.

133120312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24244 (or 24224 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133120312000 its reverse (213021331), we get a palindrome (133333333331).

The spelling of 133120312000 in words is "one hundred thirty-three billion, one hundred twenty million, three hundred twelve thousand".