11331131311120 has 20 divisors (see below), whose sum is σ = 26344880298540. Its totient is φ = 4532452524416.

The previous prime is 11331131311081. The next prime is 11331131311207. The reversal of 11331131311120 is 2111313113311.

It can be written as a sum of positive squares in 2 ways, for example, as 4220674407184 + 7110456903936 = 2054428^2 + 2666544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 11331131311091 and 11331131311100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70819570615 + ... + 70819570774.

It is an arithmetic number, because the mean of its divisors is an integer number (1317244014927).

Almost surely, 2^{11331131311120} is an apocalyptic number.

11331131311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331131311120 is an abundant number, since it is smaller than the sum of its proper divisors (15013748987420).

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

11331131311120 is a wasteful number, since it uses less digits than its factorization.

11331131311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141639141402 (or 141639141396 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 11331131311120 its reverse (2111313113311), we get a palindrome (13442444424431).

The spelling of 11331131311120 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred eleven thousand, one hundred twenty".