33454301133213 has 20 divisors (see below), whose sum is σ = 50009915810140. Its totient is φ = 22287260020032.

The previous prime is 33454301133193. The next prime is 33454301133221. The reversal of 33454301133213 is 31233110345433.

33454301133213 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 4 + 301 + 1 + 332 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11112768950724 + 22341532182489 = 3333582^2 + 4726683^2 .

It is not a de Polignac number, because 33454301133213 - 2⁹ = 33454301132701 is a prime.

It is a super-2 number, since 2×33454301133213² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33454301133283) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144396520 + ... + 144628017.

It is an arithmetic number, because the mean of its divisors is an integer number (2500495790507).

Almost surely, 2^{33454301133213} is an apocalyptic number.

It is an amenable number.

33454301133213 is a deficient number, since it is larger than the sum of its proper divisors (16555614676927).

33454301133213 is a wasteful number, since it uses less digits than its factorization.

33454301133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289025978 (or 289025969 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 33454301133213 its reverse (31233110345433), we get a palindrome (64687411478646).

The spelling of 33454301133213 in words is "thirty-three trillion, four hundred fifty-four billion, three hundred one million, one hundred thirty-three thousand, two hundred thirteen".