1131001311 has 32 divisors (see below), whose sum is σ = 1693605888. Its totient is φ = 665331840.

The previous prime is 1131001309. The next prime is 1131001349.

1131001311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1131001311 - 2¹ = 1131001309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131001411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 679266 + ... + 680928.

It is an arithmetic number, because the mean of its divisors is an integer number (52925184).

Almost surely, 2^1131001311 is an apocalyptic number.

1131001311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131001311 is a deficient number, since it is larger than the sum of its proper divisors (562604577).

1131001311 is a wasteful number, since it uses less digits than its factorization.

1131001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1131001311 is about 33630.3629329212. The cubic root of 1131001311 is about 1041.8880001513. Note that the first 3 decimals are identical.

It can be divided in two parts, 113100 and 1311, that added together give a palindrome (114411).

The spelling of 1131001311 in words is "one billion, one hundred thirty-one million, one thousand, three hundred eleven".