213313021101120 has 224 divisors, whose sum is σ = 713842245688320. Its totient is φ = 53885709230080.

The previous prime is 213313021101119. The next prime is 213313021101133. The reversal of 213313021101120 is 21101120313312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70808496 + ... + 73759535.

It is an arithmetic number, because the mean of its divisors is an integer number (3186795739680).

Almost surely, 2^{213313021101120} is an apocalyptic number.

213313021101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213313021101120 is an abundant number, since it is smaller than the sum of its proper divisors (500529224587200).

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

213313021101120 is a wasteful number, since it uses less digits than its factorization.

213313021101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144568133 (or 144568123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 213313021101120 its reverse (21101120313312), we get a palindrome (234414141414432).

The spelling of 213313021101120 in words is "two hundred thirteen trillion, three hundred thirteen billion, twenty-one million, one hundred one thousand, one hundred twenty".