213121331122320 has 200 divisors, whose sum is σ = 740351997156024. Its totient is φ = 56820834920448.

The previous prime is 213121331122243. The next prime is 213121331122339. The reversal of 213121331122320 is 23221133121312.

213121331122320 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 1 + 3 + 311 + 22 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83488350742416 + 129632980379904 = 9137196^2 + 11385648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28660882 + ... + 35322638.

Almost surely, 2^{213121331122320} is an apocalyptic number.

213121331122320 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 213121331122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370175998578012).

213121331122320 is an abundant number, since it is smaller than the sum of its proper divisors (527230666033704).

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

213121331122320 is a wasteful number, since it uses less digits than its factorization.

213121331122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666719 (or 6666704 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213121331122320 its reverse (23221133121312), we get a palindrome (236342464243632).

The spelling of 213121331122320 in words is "two hundred thirteen trillion, one hundred twenty-one billion, three hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty".