1131100011311 has 8 divisors (see below), whose sum is σ = 1197741392064. Its totient is φ = 1064470417920.

The previous prime is 1131100011287. The next prime is 1131100011359.

1131100011311 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 1131100011311 - 2³⁰ = 1130026269487 is a prime.

It is a super-3 number, since 3×1131100011311³ (a number of 37 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 (1131100010311) 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, 2748890 + ... + 3133463.

It is an arithmetic number, because the mean of its divisors is an integer number (149717674008).

Almost surely, 2^{1131100011311} is an apocalyptic number.

1131100011311 is a deficient number, since it is larger than the sum of its proper divisors (66641380753).

1131100011311 is a wasteful number, since it uses less digits than its factorization.

1131100011311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893681.

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

It can be divided in two parts, 11311000 and 11311, that added together give a palindrome (11322311).

The spelling of 1131100011311 in words is "one trillion, one hundred thirty-one billion, one hundred million, eleven thousand, three hundred eleven".