213321001030000 has 100 divisors (see below), whose sum is σ = 516491752233600. Its totient is φ = 85325050432000.

The previous prime is 213321001029973. The next prime is 213321001030019. The reversal of 213321001030000 is 30100123312.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×213321001030000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 262564401 + ... + 263375599.

It is an arithmetic number, because the mean of its divisors is an integer number (5164917522336).

Almost surely, 2^{213321001030000} is an apocalyptic number.

213321001030000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213321001030000 is an abundant number, since it is smaller than the sum of its proper divisors (303170751203600).

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

213321001030000 is an equidigital number, since it uses as much as digits as its factorization.

213321001030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837524 (or 837503 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213321001030000 its reverse (30100123312), we get a palindrome (213351101153312).

The spelling of 213321001030000 in words is "two hundred thirteen trillion, three hundred twenty-one billion, one million, thirty thousand".