1131131133301 has 6 divisors (see below), whose sum is σ = 1224834304290. Its totient is φ = 1044121045968.

The previous prime is 1131131133221. The next prime is 1131131133359. The reversal of 1131131133301 is 1033311311311.

It can be written as a sum of positive squares in 3 ways, for example, as 12729706276 + 1118401427025 = 112826^2 + 1057545^2 .

It is not a de Polignac number, because 1131131133301 - 2¹⁷ = 1131131002229 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 (1131131133361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3346541646 + ... + 3346541983.

It is an arithmetic number, because the mean of its divisors is an integer number (204139050715).

Almost surely, 2^{1131131133301} is an apocalyptic number.

It is an amenable number.

1131131133301 is a deficient number, since it is larger than the sum of its proper divisors (93703170989).

1131131133301 is an equidigital number, since it uses as much as digits as its factorization.

1131131133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693083655 (or 6693083642 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 1131131133301 its reverse (1033311311311), we get a palindrome (2164442444612).

The spelling of 1131131133301 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred one".