1131111311 has 8 divisors (see below), whose sum is σ = 1234184448. Its totient is φ = 1028079000.

The previous prime is 1131111283. The next prime is 1131111313.

1131111311 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 1131111311 - 2¹⁴ = 1131094927 is a prime.

It is a super-3 number, since 3×1131111311³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131111313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94346 + ... + 105656.

It is an arithmetic number, because the mean of its divisors is an integer number (154273056).

Almost surely, 2^1131111311 is an apocalyptic number.

1131111311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131111311 is a deficient number, since it is larger than the sum of its proper divisors (103073137).

1131111311 is a wasteful number, since it uses less digits than its factorization.

1131111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20413.

The product of its digits is 9, while the sum is 14.

The square root of 1131111311 is about 33631.9983200523. The cubic root of 1131111311 is about 1041.9217767007.

It can be divided in two parts, 11311 and 11311, that added together give a palindrome (22622).

The spelling of 1131111311 in words is "one billion, one hundred thirty-one million, one hundred eleven thousand, three hundred eleven".