1131342431311 has 32 divisors (see below), whose sum is σ = 1229996327040. Its totient is φ = 1036686336000.

The previous prime is 1131342431281. The next prime is 1131342431321.

1131342431311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1131342431311 - 2¹⁷ = 1131342300239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1131342431311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131342431321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47409895 + ... + 47433751.

It is an arithmetic number, because the mean of its divisors is an integer number (38437385220).

Almost surely, 2^{1131342431311} is an apocalyptic number.

1131342431311 is a deficient number, since it is larger than the sum of its proper divisors (98653895729).

1131342431311 is a wasteful number, since it uses less digits than its factorization.

1131342431311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24435.

The product of its digits is 2592, while the sum is 28.

The spelling of 1131342431311 in words is "one trillion, one hundred thirty-one billion, three hundred forty-two million, four hundred thirty-one thousand, three hundred eleven".