11331132011257 has 2 divisors, whose sum is σ = 11331132011258. Its totient is φ = 11331132011256.

The previous prime is 11331132011201. The next prime is 11331132011333. The reversal of 11331132011257 is 75211023113311.

11331132011257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10986679227456 + 344452783801 = 3314616^2 + 586901^2 .

It is an emirp because it is prime and its reverse (75211023113311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11331132011257 - 2¹⁵ = 11331131978489 is a prime.

It is not a weakly prime, because it can be changed into another prime (11331132011357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665566005628 + 5665566005629.

It is an arithmetic number, because the mean of its divisors is an integer number (5665566005629).

Almost surely, 2^{11331132011257} is an apocalyptic number.

It is an amenable number.

11331132011257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331132011257 is an equidigital number, since it uses as much as digits as its factorization.

11331132011257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 31.

Adding to 11331132011257 its reverse (75211023113311), we get a palindrome (86542155124568).

The spelling of 11331132011257 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, eleven thousand, two hundred fifty-seven".