1130231002013 has 24 divisors (see below), whose sum is σ = 1206624646080. Its totient is φ = 1058445480960.

The previous prime is 1130231001959. The next prime is 1130231002051. The reversal of 1130231002013 is 3102001320311.

It is not a de Polignac number, because 1130231002013 - 2¹⁰ = 1130231000989 is a prime.

It is a super-2 number, since 2×1130231002013² (a number of 25 digits) contains 22 as substring.

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 = 1130231001982 and 1130231002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130231002093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47415008 + ... + 47438838.

It is an arithmetic number, because the mean of its divisors is an integer number (50276026920).

Almost surely, 2^{1130231002013} is an apocalyptic number.

It is an amenable number.

1130231002013 is a deficient number, since it is larger than the sum of its proper divisors (76393644067).

1130231002013 is a wasteful number, since it uses less digits than its factorization.

1130231002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24677 (or 24660 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1130231002013 its reverse (3102001320311), we get a palindrome (4232232322324).

The spelling of 1130231002013 in words is "one trillion, one hundred thirty billion, two hundred thirty-one million, two thousand, thirteen".