213101311200120 has 128 divisors (see below), whose sum is σ = 811814518886400. Its totient is φ = 48708871129728.

The previous prime is 213101311200109. The next prime is 213101311200121. The reversal of 213101311200120 is 21002113101312.

213101311200120 is a `hidden beast` number, since 2 + 1 + 31 + 0 + 1 + 311 + 200 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213101311200093 and 213101311200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213101311200121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14093994504 + ... + 14094009623.

It is an arithmetic number, because the mean of its divisors is an integer number (6342300928800).

Almost surely, 2^{213101311200120} is an apocalyptic number.

213101311200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213101311200120 is an abundant number, since it is smaller than the sum of its proper divisors (598713207686280).

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

213101311200120 is a wasteful number, since it uses less digits than its factorization.

213101311200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28188004154 (or 28188004144 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213101311200120 its reverse (21002113101312), we get a palindrome (234103424301432).

The spelling of 213101311200120 in words is "two hundred thirteen trillion, one hundred one billion, three hundred eleven million, two hundred thousand, one hundred twenty".