33213312000000 has 1176 divisors, whose sum is σ = 130880575800936. Its totient is φ = 8048640000000.

The previous prime is 33213311999999. The next prime is 33213312000019. The reversal of 33213312000000 is 21331233.

33213312000000 is a `hidden beast` number, since 332 + 1 + 331 + 2 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×33213312000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12671998690 + ... + 12672001310.

Almost surely, 2^{33213312000000} is an apocalyptic number.

33213312000000 is a gapful number since it is divisible by the number (30) 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 33213312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65440287900468).

33213312000000 is an abundant number, since it is smaller than the sum of its proper divisors (97667263800936).

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

33213312000000 is an frugal number, since it uses more digits than its factorization.

33213312000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33213312000000 its reverse (21331233), we get a palindrome (33213333331233).

The spelling of 33213312000000 in words is "thirty-three trillion, two hundred thirteen billion, three hundred twelve million", and thus it is an aban number.