213333101221332 has 192 divisors, whose sum is σ = 552520988135424. Its totient is φ = 63771188490240.

The previous prime is 213333101221309. The next prime is 213333101221363. The reversal of 213333101221332 is 233122101333312.

It is a super-2 number, since 2×213333101221332² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213333101221332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5230398643 + ... + 5230439429.

It is an arithmetic number, because the mean of its divisors is an integer number (2877713479872).

Almost surely, 2^{213333101221332} 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 213333101221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276260494067712).

213333101221332 is an abundant number, since it is smaller than the sum of its proper divisors (339187886914092).

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

213333101221332 is a wasteful number, since it uses less digits than its factorization.

213333101221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55438 (or 55436 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 213333101221332 its reverse (233122101333312), we get a palindrome (446455202554644).

The spelling of 213333101221332 in words is "two hundred thirteen trillion, three hundred thirty-three billion, one hundred one million, two hundred twenty-one thousand, three hundred thirty-two".