1011133103137 has 2 divisors, whose sum is σ = 1011133103138. Its totient is φ = 1011133103136.

The previous prime is 1011133103119. The next prime is 1011133103191. The reversal of 1011133103137 is 7313013311101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 690908401681 + 320224701456 = 831209^2 + 565884^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011133103137 - 2¹⁹ = 1011132578849 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011133103437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505566551568 + 505566551569.

It is an arithmetic number, because the mean of its divisors is an integer number (505566551569).

Almost surely, 2^{1011133103137} is an apocalyptic number.

It is an amenable number.

1011133103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011133103137 is an equidigital number, since it uses as much as digits as its factorization.

1011133103137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 25.

Adding to 1011133103137 its reverse (7313013311101), we get a palindrome (8324146414238).

The spelling of 1011133103137 in words is "one trillion, eleven billion, one hundred thirty-three million, one hundred three thousand, one hundred thirty-seven".