1131032110013 has 48 divisors (see below), whose sum is σ = 1378886423040. Its totient is φ = 919892649984.

The previous prime is 1131032110007. The next prime is 1131032110037. The reversal of 1131032110013 is 3100112301311.

It is not a de Polignac number, because 1131032110013 - 2⁴ = 1131032109997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1131032109973 and 1131032110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131032110003) 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, 3922073 + ... + 4200561.

It is an arithmetic number, because the mean of its divisors is an integer number (28726800480).

Almost surely, 2^{1131032110013} is an apocalyptic number.

1131032110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1131032110013 is a deficient number, since it is larger than the sum of its proper divisors (247854313027).

1131032110013 is a wasteful number, since it uses less digits than its factorization.

1131032110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278606 (or 278589 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1131032110013 its reverse (3100112301311), we get a palindrome (4231144411324).

The spelling of 1131032110013 in words is "one trillion, one hundred thirty-one billion, thirty-two million, one hundred ten thousand, thirteen".