133003305025000 has 192 divisors, whose sum is σ = 330320133002160. Its totient is φ = 50029670400000.

The previous prime is 133003305024973. The next prime is 133003305025007. The reversal of 133003305025000 is 520503300331.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 69953384626596 + 63049920398404 = 8363814^2 + 7940398^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133003305025007) 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, 506893840 + ... + 507156160.

Almost surely, 2^{133003305025000} is an apocalyptic number.

133003305025000 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 133003305025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165160066501080).

133003305025000 is an abundant number, since it is smaller than the sum of its proper divisors (197316827977160).

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

133003305025000 is a wasteful number, since it uses less digits than its factorization.

133003305025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263562 (or 263538 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

Adding to 133003305025000 its reverse (520503300331), we get a palindrome (133523808325331).

The spelling of 133003305025000 in words is "one hundred thirty-three trillion, three billion, three hundred five million, twenty-five thousand".