33431213000000 has 294 divisors, whose sum is σ = 86687537611878. Its totient is φ = 12790870400000.

The previous prime is 33431212999997. The next prime is 33431213000027. The reversal of 33431213000000 is 31213433.

It can be written as a sum of positive squares in 7 ways, for example, as 30435876664384 + 2995336335616 = 5516872^2 + 1730704^2 .

It is a super-2 number, since 2×33431213000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 528968402 + ... + 529031598.

Almost surely, 2^{33431213000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33431213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43343768805939).

33431213000000 is an abundant number, since it is smaller than the sum of its proper divisors (53256324611878).

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

33431213000000 is an frugal number, since it uses more digits than its factorization.

33431213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63285 (or 63227 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33431213000000 its reverse (31213433), we get a palindrome (33431244213433).

The spelling of 33431213000000 in words is "thirty-three trillion, four hundred thirty-one billion, two hundred thirteen million", and thus it is an aban number.