11131000011331 has 8 divisors (see below), whose sum is σ = 11269238666400. Its totient is φ = 10993418072640.

The previous prime is 11131000011269. The next prime is 11131000011347. The reversal of 11131000011331 is 13311000013111.

11131000011331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11131000011331 is a prime.

It is a super-3 number, since 3×11131000011331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11131000011361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164144986 + ... + 164212783.

It is an arithmetic number, because the mean of its divisors is an integer number (1408654833300).

Almost surely, 2^{11131000011331} is an apocalyptic number.

11131000011331 is a deficient number, since it is larger than the sum of its proper divisors (138238655069).

11131000011331 is a wasteful number, since it uses less digits than its factorization.

11131000011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328358189.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 11131000011331 its reverse (13311000013111), we get a palindrome (24442000024442).

The spelling of 11131000011331 in words is "eleven trillion, one hundred thirty-one billion, eleven thousand, three hundred thirty-one".