11013131032037 has 2 divisors, whose sum is σ = 11013131032038. Its totient is φ = 11013131032036.

The previous prime is 11013131032027. The next prime is 11013131032039. The reversal of 11013131032037 is 73023013131011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10934569108516 + 78561923521 = 3306746^2 + 280289^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11013131032037 is a prime.

Together with 11013131032039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 11013131031997 and 11013131032015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11013131032039) 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 as a sum of consecutive naturals, namely, 5506565516018 + 5506565516019.

It is an arithmetic number, because the mean of its divisors is an integer number (5506565516019).

Almost surely, 2^{11013131032037} is an apocalyptic number.

It is an amenable number.

11013131032037 is a deficient number, since it is larger than the sum of its proper divisors (1).

11013131032037 is an equidigital number, since it uses as much as digits as its factorization.

11013131032037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

Adding to 11013131032037 its reverse (73023013131011), we get a palindrome (84036144163048).

The spelling of 11013131032037 in words is "eleven trillion, thirteen billion, one hundred thirty-one million, thirty-two thousand, thirty-seven".