1130004142311 has 32 divisors (see below), whose sum is σ = 1651159572480. Its totient is φ = 681722847200.

The previous prime is 1130004142303. The next prime is 1130004142321. The reversal of 1130004142311 is 1132414000311.

It is a cyclic number.

It is not a de Polignac number, because 1130004142311 - 2³ = 1130004142303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130004142301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11398246 + ... + 11496956.

It is an arithmetic number, because the mean of its divisors is an integer number (51598736640).

Almost surely, 2^{1130004142311} is an apocalyptic number.

1130004142311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1130004142311 is a deficient number, since it is larger than the sum of its proper divisors (521155430169).

1130004142311 is a wasteful number, since it uses less digits than its factorization.

1130004142311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100307.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1130004142311 its reverse (1132414000311), we get a palindrome (2262418142622).

The spelling of 1130004142311 in words is "one trillion, one hundred thirty billion, four million, one hundred forty-two thousand, three hundred eleven".