33313113130133 has 8 divisors (see below), whose sum is σ = 33681019092120. Its totient is φ = 32947015060480.

The previous prime is 33313113130117. The next prime is 33313113130147. The reversal of 33313113130133 is 33103131131333.

It can be written as a sum of positive squares in 4 ways, for example, as 121607033284 + 33191506096849 = 348722^2 + 5761207^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33313113130133 - 2⁴ = 33313113130117 is a prime.

It is a super-2 number, since 2×33313113130133² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33313113130096 and 33313113130105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33313113130103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451936028 + ... + 452009733.

It is an arithmetic number, because the mean of its divisors is an integer number (4210127386515).

Almost surely, 2^{33313113130133} is an apocalyptic number.

It is an amenable number.

33313113130133 is a deficient number, since it is larger than the sum of its proper divisors (367905961987).

33313113130133 is a wasteful number, since it uses less digits than its factorization.

33313113130133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903946167.

The product of its (nonzero) digits is 6561, while the sum is 29.

Adding to 33313113130133 its reverse (33103131131333), we get a palindrome (66416244261466).

The spelling of 33313113130133 in words is "thirty-three trillion, three hundred thirteen billion, one hundred thirteen million, one hundred thirty thousand, one hundred thirty-three".