1133111313137 has 2 divisors, whose sum is σ = 1133111313138. Its totient is φ = 1133111313136.

The previous prime is 1133111313119. The next prime is 1133111313143. The reversal of 1133111313137 is 7313131113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 661580517376 + 471530795761 = 813376^2 + 686681^2 .

It is a cyclic number.

It is not a de Polignac number, because 1133111313137 - 2¹⁸ = 1133111050993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1133111313197) 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, 566555656568 + 566555656569.

It is an arithmetic number, because the mean of its divisors is an integer number (566555656569).

Almost surely, 2^{1133111313137} is an apocalyptic number.

It is an amenable number.

1133111313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133111313137 is an equidigital number, since it uses as much as digits as its factorization.

1133111313137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1701, while the sum is 29.

Adding to 1133111313137 its reverse (7313131113311), we get a palindrome (8446242426448).

The spelling of 1133111313137 in words is "one trillion, one hundred thirty-three billion, one hundred eleven million, three hundred thirteen thousand, one hundred thirty-seven".