1011133311137 has 2 divisors, whose sum is σ = 1011133311138. Its totient is φ = 1011133311136.

The previous prime is 1011133311131. The next prime is 1011133311191. The reversal of 1011133311137 is 7311133311101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 962447329936 + 48685981201 = 981044^2 + 220649^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011133311137 - 2⁸ = 1011133310881 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011133311131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505566655568 + 505566655569.

It is an arithmetic number, because the mean of its divisors is an integer number (505566655569).

Almost surely, 2^{1011133311137} is an apocalyptic number.

It is an amenable number.

1011133311137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011133311137 is an equidigital number, since it uses as much as digits as its factorization.

1011133311137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 26.

Adding to 1011133311137 its reverse (7311133311101), we get a palindrome (8322266622238).

The spelling of 1011133311137 in words is "one trillion, eleven billion, one hundred thirty-three million, three hundred eleven thousand, one hundred thirty-seven".