11231200013013 has 24 divisors (see below), whose sum is σ = 16258663020600. Its totient is φ = 7470936293760.

The previous prime is 11231200013009. The next prime is 11231200013039. The reversal of 11231200013013 is 31031000213211.

It can be written as a sum of positive squares in 4 ways, for example, as 1049114693169 + 10182085319844 = 1024263^2 + 3190938^2 .

It is not a de Polignac number, because 11231200013013 - 2² = 11231200013009 is a prime.

It is a super-2 number, since 2×11231200013013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231200013093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195592495 + ... + 195649907.

It is an arithmetic number, because the mean of its divisors is an integer number (677444292525).

Almost surely, 2^{11231200013013} is an apocalyptic number.

It is an amenable number.

11231200013013 is a deficient number, since it is larger than the sum of its proper divisors (5027463007587).

11231200013013 is a wasteful number, since it uses less digits than its factorization.

11231200013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105029 (or 105026 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11231200013013 its reverse (31031000213211), we get a palindrome (42262200226224).

The spelling of 11231200013013 in words is "eleven trillion, two hundred thirty-one billion, two hundred million, thirteen thousand, thirteen".