11013002331233 has 24 divisors (see below), whose sum is σ = 13253197043880. Its totient is φ = 9113938283520.

The previous prime is 11013002331157. The next prime is 11013002331251. The reversal of 11013002331233 is 33213320031011.

It can be written as a sum of positive squares in 4 ways, for example, as 18320163904 + 10994682167329 = 135352^2 + 3315823^2 .

It is not a de Polignac number, because 11013002331233 - 2¹⁸ = 11013002069089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11013002331199 and 11013002331208.

It is not an unprimeable number, because it can be changed into a prime (11013002339233) 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, 58156523 + ... + 58345583.

It is an arithmetic number, because the mean of its divisors is an integer number (552216543495).

Almost surely, 2^{11013002331233} is an apocalyptic number.

It is an amenable number.

11013002331233 is a deficient number, since it is larger than the sum of its proper divisors (2240194712647).

11013002331233 is a wasteful number, since it uses less digits than its factorization.

11013002331233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230097 (or 230090 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 11013002331233 its reverse (33213320031011), we get a palindrome (44226322362244).

The spelling of 11013002331233 in words is "eleven trillion, thirteen billion, two million, three hundred thirty-one thousand, two hundred thirty-three".