133434255330100 has 144 divisors (see below), whose sum is σ = 300923947856896. Its totient is φ = 51301071360000.

The previous prime is 133434255330067. The next prime is 133434255330109. The reversal of 133434255330100 is 1033552434331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133434255330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133434255330109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3151696132 + ... + 3151738468.

Almost surely, 2^{133434255330100} is an apocalyptic number.

133434255330100 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 133434255330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150461973928448).

133434255330100 is an abundant number, since it is smaller than the sum of its proper divisors (167489692526796).

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

133434255330100 is a wasteful number, since it uses less digits than its factorization.

133434255330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49266 (or 49259 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

The spelling of 133434255330100 in words is "one hundred thirty-three trillion, four hundred thirty-four billion, two hundred fifty-five million, three hundred thirty thousand, one hundred".