11310121132020 has 384 divisors, whose sum is σ = 37765442695680. Its totient is φ = 2800109813760.

The previous prime is 11310121131977. The next prime is 11310121132027. The reversal of 11310121132020 is 2023112101311.

11310121132020 is a `hidden beast` number, since 1 + 1 + 310 + 1 + 2 + 11 + 320 + 20 = 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 = 11310121131984 and 11310121132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310121132027) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 218852904 + ... + 218904576.

It is an arithmetic number, because the mean of its divisors is an integer number (98347507020).

Almost surely, 2^{11310121132020} is an apocalyptic number.

11310121132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310121132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18882721347840).

11310121132020 is an abundant number, since it is smaller than the sum of its proper divisors (26455321563660).

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

11310121132020 is a wasteful number, since it uses less digits than its factorization.

11310121132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52032 (or 52024 counting only the distinct ones).

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

Adding to 11310121132020 its reverse (2023112101311), we get a palindrome (13333233233331).

The spelling of 11310121132020 in words is "eleven trillion, three hundred ten billion, one hundred twenty-one million, one hundred thirty-two thousand, twenty".