133120133322000 has 640 divisors, whose sum is σ = 483828327290880. Its totient is φ = 31208889600000.

The previous prime is 133120133321993. The next prime is 133120133322067. The reversal of 133120133322000 is 223331021331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 286405791 + ... + 286870209.

It is an arithmetic number, because the mean of its divisors is an integer number (755981761392).

Almost surely, 2^{133120133322000} is an apocalyptic number.

133120133322000 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 133120133322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241914163645440).

133120133322000 is an abundant number, since it is smaller than the sum of its proper divisors (350708193968880).

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

133120133322000 is a wasteful number, since it uses less digits than its factorization.

133120133322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464600 (or 464584 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133120133322000 its reverse (223331021331), we get a palindrome (133343464343331).

The spelling of 133120133322000 in words is "one hundred thirty-three trillion, one hundred twenty billion, one hundred thirty-three million, three hundred twenty-two thousand".