11012131003120 has 480 divisors, whose sum is σ = 29437342228800. Its totient is φ = 3822741651456.

The previous prime is 11012131003079. The next prime is 11012131003141. The reversal of 11012131003120 is 2130013121011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11012131003094 and 11012131003103.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6895510162 + ... + 6895511758.

It is an arithmetic number, because the mean of its divisors is an integer number (61327796310).

Almost surely, 2^{11012131003120} is an apocalyptic number.

11012131003120 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 11012131003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718671114400).

11012131003120 is an abundant number, since it is smaller than the sum of its proper divisors (18425211225680).

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

11012131003120 is a wasteful number, since it uses less digits than its factorization.

11012131003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11012131003120 its reverse (2130013121011), we get a palindrome (13142144124131).

The spelling of 11012131003120 in words is "eleven trillion, twelve billion, one hundred thirty-one million, three thousand, one hundred twenty".