213103300432000 has 128 divisors (see below), whose sum is σ = 577994270330880. Its totient is φ = 77492109184000.

The previous prime is 213103300431977. The next prime is 213103300432031. The reversal of 213103300432000 is 234003301312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×213103300432000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605231104 + ... + 605583103.

It is an arithmetic number, because the mean of its divisors is an integer number (4515580236960).

Almost surely, 2^{213103300432000} is an apocalyptic number.

213103300432000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213103300432000 is an abundant number, since it is smaller than the sum of its proper divisors (364890969898880).

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

213103300432000 is a wasteful number, since it uses less digits than its factorization.

213103300432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210814247 (or 1210814225 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213103300432000 its reverse (234003301312), we get a palindrome (213337303733312).

The spelling of 213103300432000 in words is "two hundred thirteen trillion, one hundred three billion, three hundred million, four hundred thirty-two thousand".