213310022131200 has 480 divisors, whose sum is σ = 718298597554560. Its totient is φ = 55788834816000.

The previous prime is 213310022131183. The next prime is 213310022131223. The reversal of 213310022131200 is 2131220013312.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×213310022131200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588990175 + ... + 589352225.

It is an arithmetic number, because the mean of its divisors is an integer number (1496455411572).

Almost surely, 2^{213310022131200} is an apocalyptic number.

213310022131200 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 213310022131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359149298777280).

213310022131200 is an abundant number, since it is smaller than the sum of its proper divisors (504988575423360).

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

213310022131200 is a wasteful number, since it uses less digits than its factorization.

213310022131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362378 (or 362357 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213310022131200 its reverse (2131220013312), we get a palindrome (215441242144512).

The spelling of 213310022131200 in words is "two hundred thirteen trillion, three hundred ten billion, twenty-two million, one hundred thirty-one thousand, two hundred".