213144300001120 has 48 divisors (see below), whose sum is σ = 504868169756160. Its totient is φ = 85035114962944.

The previous prime is 213144300001067. The next prime is 213144300001133. The reversal of 213144300001120 is 21100003441312.

It is a junction number, because it is equal to n+sod(n) for n = 213144300001091 and 213144300001100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1739040385 + ... + 1739162944.

It is an arithmetic number, because the mean of its divisors is an integer number (10518086869920).

Almost surely, 2^{213144300001120} is an apocalyptic number.

213144300001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213144300001120 is an abundant number, since it is smaller than the sum of its proper divisors (291723869755040).

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

213144300001120 is a wasteful number, since it uses less digits than its factorization.

213144300001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478203727 (or 3478203719 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 213144300001120 its reverse (21100003441312), we get a palindrome (234244303442432).

The spelling of 213144300001120 in words is "two hundred thirteen trillion, one hundred forty-four billion, three hundred million, one thousand, one hundred twenty".