133310301000030 has 384 divisors, whose sum is σ = 433719328813056. Its totient is φ = 27599278694400.

The previous prime is 133310300999999. The next prime is 133310301000043. The reversal of 133310301000030 is 30000103013331.

133310301000030 is a `hidden beast` number, since 1 + 3 + 331 + 0 + 301 + 0 + 0 + 0 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133310300999967 and 133310301000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3458722939 + ... + 3458761481.

It is an arithmetic number, because the mean of its divisors is an integer number (1129477418784).

Almost surely, 2^{133310301000030} is an apocalyptic number.

133310301000030 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 133310301000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216859664406528).

133310301000030 is an abundant number, since it is smaller than the sum of its proper divisors (300409027813026).

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

133310301000030 is a wasteful number, since it uses less digits than its factorization.

133310301000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40392 (or 40389 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 133310301000030 its reverse (30000103013331), we get a palindrome (163310404013361).

The spelling of 133310301000030 in words is "one hundred thirty-three trillion, three hundred ten billion, three hundred one million, thirty", and thus it is an aban number.