133033314412020 has 384 divisors, whose sum is σ = 445468069670400. Its totient is φ = 29282254848000.

The previous prime is 133033314411997. The next prime is 133033314412039. The reversal of 133033314412020 is 20214413330331.

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 127 ways as a sum of consecutive naturals, for example, 390611166 + ... + 390951594.

It is an arithmetic number, because the mean of its divisors is an integer number (1160073098100).

Almost surely, 2^{133033314412020} is an apocalyptic number.

133033314412020 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 133033314412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222734034835200).

133033314412020 is an abundant number, since it is smaller than the sum of its proper divisors (312434755258380).

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

133033314412020 is a wasteful number, since it uses less digits than its factorization.

133033314412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341699 (or 341697 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 133033314412020 its reverse (20214413330331), we get a palindrome (153247727742351).

The spelling of 133033314412020 in words is "one hundred thirty-three trillion, thirty-three billion, three hundred fourteen million, four hundred twelve thousand, twenty".