11131110311113 has 64 divisors (see below), whose sum is σ = 12851823688704. Its totient is φ = 9568500480000.

The previous prime is 11131110311077. The next prime is 11131110311149. The reversal of 11131110311113 is 31111301113111.

It is an interprime number because it is at equal distance from previous prime (11131110311077) and next prime (11131110311149).

It is a cyclic number.

It is not a de Polignac number, because 11131110311113 - 2¹⁷ = 11131110180041 is a prime.

It is a super-2 number, since 2×11131110311113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11131110311173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755104923 + ... + 755119663.

It is an arithmetic number, because the mean of its divisors is an integer number (200809745136).

Almost surely, 2^{11131110311113} is an apocalyptic number.

11131110311113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11131110311113 is a deficient number, since it is larger than the sum of its proper divisors (1720713377591).

11131110311113 is a wasteful number, since it uses less digits than its factorization.

11131110311113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15586.

The product of its (nonzero) digits is 27, while the sum is 19.

Adding to 11131110311113 its reverse (31111301113111), we get a palindrome (42242411424224).

The spelling of 11131110311113 in words is "eleven trillion, one hundred thirty-one billion, one hundred ten million, three hundred eleven thousand, one hundred thirteen".