213031322033320 has 192 divisors, whose sum is σ = 564671805984000. Its totient is φ = 72110037662208.

The previous prime is 213031322033303. The next prime is 213031322033351. The reversal of 213031322033320 is 23330223130312.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3014544627 + ... + 3014615293.

It is an arithmetic number, because the mean of its divisors is an integer number (2940998989500).

Almost surely, 2^{213031322033320} is an apocalyptic number.

213031322033320 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 213031322033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282335902992000).

213031322033320 is an abundant number, since it is smaller than the sum of its proper divisors (351640483950680).

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

213031322033320 is a wasteful number, since it uses less digits than its factorization.

213031322033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90240 (or 90229 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 213031322033320 its reverse (23330223130312), we get a palindrome (236361545163632).

The spelling of 213031322033320 in words is "two hundred thirteen trillion, thirty-one billion, three hundred twenty-two million, thirty-three thousand, three hundred twenty".