1100013131311 has 16 divisors (see below), whose sum is σ = 1169446692960. Its totient is φ = 1031113036800.

The previous prime is 1100013131293. The next prime is 1100013131339. The reversal of 1100013131311 is 1131313100011.

It is a cyclic number.

It is not a de Polignac number, because 1100013131311 - 2²⁷ = 1099878913583 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100013131351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4152445 + ... + 4409401.

It is an arithmetic number, because the mean of its divisors is an integer number (73090418310).

Almost surely, 2^{1100013131311} is an apocalyptic number.

1100013131311 is a deficient number, since it is larger than the sum of its proper divisors (69433561649).

1100013131311 is a wasteful number, since it uses less digits than its factorization.

1100013131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257994.

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

Adding to 1100013131311 its reverse (1131313100011), we get a palindrome (2231326231322).

The spelling of 1100013131311 in words is "one trillion, one hundred billion, thirteen million, one hundred thirty-one thousand, three hundred eleven".