11313201210120 has 192 divisors, whose sum is σ = 38576163824640. Its totient is φ = 2871674380800.

The previous prime is 11313201210119. The next prime is 11313201210131. The reversal of 11313201210120 is 2101210231311.

11313201210120 is a `hidden beast` number, since 1 + 1 + 313 + 20 + 1 + 210 + 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 = 11313201210093 and 11313201210102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7628484 + ... + 8990003.

It is an arithmetic number, because the mean of its divisors is an integer number (200917519920).

Almost surely, 2^{11313201210120} is an apocalyptic number.

11313201210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313201210120 is an abundant number, since it is smaller than the sum of its proper divisors (27262962614520).

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

11313201210120 is a wasteful number, since it uses less digits than its factorization.

11313201210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618596 (or 16618589 counting only the distinct ones).

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

Adding to 11313201210120 its reverse (2101210231311), we get a palindrome (13414411441431).

The spelling of 11313201210120 in words is "eleven trillion, three hundred thirteen billion, two hundred one million, two hundred ten thousand, one hundred twenty".