11331103031120 has 80 divisors (see below), whose sum is σ = 26844633678720. Its totient is φ = 4447258255872.

The previous prime is 11331103031099. The next prime is 11331103031159. The reversal of 11331103031120 is 2113030113311.

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

It is a super-3 number, since 3×11331103031120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11331103031092 and 11331103031101.

It is a congruent number.

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, 5409794 + ... + 7206113.

It is an arithmetic number, because the mean of its divisors is an integer number (335557920984).

Almost surely, 2^{11331103031120} is an apocalyptic number.

11331103031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331103031120 is an abundant number, since it is smaller than the sum of its proper divisors (15513530647600).

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

11331103031120 is a wasteful number, since it uses less digits than its factorization.

11331103031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616132 (or 12616126 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11331103031120 its reverse (2113030113311), we get a palindrome (13444133144431).

The spelling of 11331103031120 in words is "eleven trillion, three hundred thirty-one billion, one hundred three million, thirty-one thousand, one hundred twenty".