133033031213013 has 24 divisors (see below), whose sum is σ = 198785795808600. Its totient is φ = 85630109397504.

The previous prime is 133033031212993. The next prime is 133033031213051. The reversal of 133033031213013 is 310312130330331.

133033031213013 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 330 + 3 + 1 + 21 + 301 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17249792904369 + 115783238308644 = 4153287^2 + 10760262^2 .

It is a de Polignac number, because none of the positive numbers 2^k-133033031213013 is a prime.

It is a super-2 number, since 2×133033031213013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133033031213053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73748833 + ... + 75531161.

It is an arithmetic number, because the mean of its divisors is an integer number (8282741492025).

Almost surely, 2^{133033031213013} is an apocalyptic number.

It is an amenable number.

133033031213013 is a deficient number, since it is larger than the sum of its proper divisors (65752764595587).

133033031213013 is a wasteful number, since it uses less digits than its factorization.

133033031213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068341 (or 2068338 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 133033031213013 its reverse (310312130330331), we get a palindrome (443345161543344).

The spelling of 133033031213013 in words is "one hundred thirty-three trillion, thirty-three billion, thirty-one million, two hundred thirteen thousand, thirteen".