11131332013213 has 16 divisors (see below), whose sum is σ = 11291191026480. Its totient is φ = 10971675127296.

The previous prime is 11131332013211. The next prime is 11131332013261. The reversal of 11131332013213 is 31231023313111.

It can be written as a sum of positive squares in 8 ways, for example, as 4633329435289 + 6498002577924 = 2152517^2 + 2549118^2 .

It is not a de Polignac number, because 11131332013213 - 2¹ = 11131332013211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131332013211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895011231 + ... + 895023667.

It is an arithmetic number, because the mean of its divisors is an integer number (705699439155).

Almost surely, 2^{11131332013213} is an apocalyptic number.

It is an amenable number.

11131332013213 is a deficient number, since it is larger than the sum of its proper divisors (159859013267).

11131332013213 is a wasteful number, since it uses less digits than its factorization.

11131332013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19536.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 11131332013213 its reverse (31231023313111), we get a palindrome (42362355326324).

The spelling of 11131332013213 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirty-two million, thirteen thousand, two hundred thirteen".