2231113001137 has 2 divisors, whose sum is σ = 2231113001138. Its totient is φ = 2231113001136.

The previous prime is 2231113001101. The next prime is 2231113001177. The reversal of 2231113001137 is 7311003111322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2018016283761 + 213096717376 = 1420569^2 + 461624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231113001137 - 2²⁷ = 2230978783409 is a prime.

It is a super-3 number, since 3×2231113001137³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2231113001177) 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, 1115556500568 + 1115556500569.

It is an arithmetic number, because the mean of its divisors is an integer number (1115556500569).

Almost surely, 2^{2231113001137} is an apocalyptic number.

It is an amenable number.

2231113001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231113001137 is an equidigital number, since it uses as much as digits as its factorization.

2231113001137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 2231113001137 its reverse (7311003111322), we get a palindrome (9542116112459).

The spelling of 2231113001137 in words is "two trillion, two hundred thirty-one billion, one hundred thirteen million, one thousand, one hundred thirty-seven".