133003421434200 has 384 divisors, whose sum is σ = 438423589094400. Its totient is φ = 33239169761280.

The previous prime is 133003421434123. The next prime is 133003421434223. The reversal of 133003421434200 is 2434124300331.

It is a happy number.

It is a super-2 number, since 2×133003421434200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8700418957 + ... + 8700434243.

It is an arithmetic number, because the mean of its divisors is an integer number (1141728096600).

Almost surely, 2^{133003421434200} is an apocalyptic number.

133003421434200 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 133003421434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219211794547200).

133003421434200 is an abundant number, since it is smaller than the sum of its proper divisors (305420167660200).

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

133003421434200 is a wasteful number, since it uses less digits than its factorization.

133003421434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18899 (or 18890 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 133003421434200 its reverse (2434124300331), we get a palindrome (135437545734531).

The spelling of 133003421434200 in words is "one hundred thirty-three trillion, three billion, four hundred twenty-one million, four hundred thirty-four thousand, two hundred".