1130110110311 has 48 divisors (see below), whose sum is σ = 1442595480480. Its totient is φ = 877267480320.

The previous prime is 1130110110289. The next prime is 1130110110341.

1130110110311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1130110110311 - 2⁶ = 1130110110247 is a prime.

It is a super-2 number, since 2×1130110110311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130110110341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15389600 + ... + 15462858.

It is an arithmetic number, because the mean of its divisors is an integer number (30054072510).

Almost surely, 2^{1130110110311} is an apocalyptic number.

1130110110311 is a deficient number, since it is larger than the sum of its proper divisors (312485370169).

1130110110311 is a wasteful number, since it uses less digits than its factorization.

1130110110311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73744 (or 73737 counting only the distinct ones).

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

It can be divided in two parts, 1130110 and 110311, that added together give a palindrome (1240421).

The spelling of 1130110110311 in words is "one trillion, one hundred thirty billion, one hundred ten million, one hundred ten thousand, three hundred eleven".