133020351316350 has 144 divisors (see below), whose sum is σ = 361273395397824. Its totient is φ = 35086474080000.

The previous prime is 133020351316243. The next prime is 133020351316373. The reversal of 133020351316350 is 53613153020331.

133020351316350 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 0 + 3 + 5 + 13 + 1 + 635 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44971179 + ... + 47837721.

It is an arithmetic number, because the mean of its divisors is an integer number (2508843023596).

Almost surely, 2^{133020351316350} is an apocalyptic number.

133020351316350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133020351316350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180636697698912).

133020351316350 is an abundant number, since it is smaller than the sum of its proper divisors (228253044081474).

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

133020351316350 is a wasteful number, since it uses less digits than its factorization.

133020351316350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867683 (or 2867675 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 133020351316350 in words is "one hundred thirty-three trillion, twenty billion, three hundred fifty-one million, three hundred sixteen thousand, three hundred fifty".