213121213323000 has 256 divisors, whose sum is σ = 671709841395840. Its totient is φ = 56253864960000.

The previous prime is 213121213322987. The next prime is 213121213323013. The reversal of 213121213323000 is 323312121312.

It is an interprime number because it is at equal distance from previous prime (213121213322987) and next prime (213121213323013).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1101914304 + ... + 1102107696.

Almost surely, 2^{213121213323000} is an apocalyptic number.

213121213323000 is a gapful number since it is divisible by the number (20) 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 213121213323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335854920697920).

213121213323000 is an abundant number, since it is smaller than the sum of its proper divisors (458588628072840).

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

213121213323000 is a wasteful number, since it uses less digits than its factorization.

213121213323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197155 (or 197141 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213121213323000 its reverse (323312121312), we get a palindrome (213444525444312).

The spelling of 213121213323000 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty-three thousand".