211013102313120 has 96 divisors (see below), whose sum is σ = 664707530914560. Its totient is φ = 56268784225280.

The previous prime is 211013102313073. The next prime is 211013102313133. The reversal of 211013102313120 is 21313201310112.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14342710 + ... + 25054730.

It is an arithmetic number, because the mean of its divisors is an integer number (6924036780360).

Almost surely, 2^{211013102313120} is an apocalyptic number.

211013102313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211013102313120 is an abundant number, since it is smaller than the sum of its proper divisors (453694428601440).

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

211013102313120 is a wasteful number, since it uses less digits than its factorization.

211013102313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10753078 (or 10753070 counting only the distinct ones).

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

Adding to 211013102313120 its reverse (21313201310112), we get a palindrome (232326303623232).

The spelling of 211013102313120 in words is "two hundred eleven trillion, thirteen billion, one hundred two million, three hundred thirteen thousand, one hundred twenty".