1130233313313 has 24 divisors (see below), whose sum is σ = 1764487838568. Its totient is φ = 693017240832.

The previous prime is 1130233313291. The next prime is 1130233313387. The reversal of 1130233313313 is 3133133320311.

1130233313313 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 2 + 33 + 313 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5420346129 + 1124812967184 = 73623^2 + 1060572^2 .

It is not a de Polignac number, because 1130233313313 - 2⁶ = 1130233313249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1130233313393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17404620 + ... + 17469437.

It is an arithmetic number, because the mean of its divisors is an integer number (73520326607).

Almost surely, 2^{1130233313313} is an apocalyptic number.

1130233313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1130233313313 is a deficient number, since it is larger than the sum of its proper divisors (634254525255).

1130233313313 is a wasteful number, since it uses less digits than its factorization.

1130233313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34874353 (or 34874350 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1130233313313 its reverse (3133133320311), we get a palindrome (4263366633624).

The spelling of 1130233313313 in words is "one trillion, one hundred thirty billion, two hundred thirty-three million, three hundred thirteen thousand, three hundred thirteen".