211320313023120 has 80 divisors (see below), whose sum is σ = 748677680430720. Its totient is φ = 48301785833472.

The previous prime is 211320313023107. The next prime is 211320313023179. The reversal of 211320313023120 is 21320313023112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×211320313023120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62892948625 + ... + 62892951984.

It is an arithmetic number, because the mean of its divisors is an integer number (9358471005384).

Almost surely, 2^{211320313023120} is an apocalyptic number.

211320313023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211320313023120 is an abundant number, since it is smaller than the sum of its proper divisors (537357367407600).

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

211320313023120 is a wasteful number, since it uses less digits than its factorization.

211320313023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125785900632 (or 125785900626 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 211320313023120 its reverse (21320313023112), we get a palindrome (232640626046232).

The spelling of 211320313023120 in words is "two hundred eleven trillion, three hundred twenty billion, three hundred thirteen million, twenty-three thousand, one hundred twenty".