1012111311137 has 2 divisors, whose sum is σ = 1012111311138. Its totient is φ = 1012111311136.

The previous prime is 1012111311103. The next prime is 1012111311173. The reversal of 1012111311137 is 7311131112101.

It is a happy number.

Together with next prime (1012111311173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1011625593616 + 485717521 = 1005796^2 + 22039^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012111311137 - 2¹² = 1012111307041 is a prime.

It is a super-2 number, since 2×1012111311137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1012111311187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506055655568 + 506055655569.

It is an arithmetic number, because the mean of its divisors is an integer number (506055655569).

Almost surely, 2^{1012111311137} is an apocalyptic number.

It is an amenable number.

1012111311137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012111311137 is an equidigital number, since it uses as much as digits as its factorization.

1012111311137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 23.

Adding to 1012111311137 its reverse (7311131112101), we get a palindrome (8323242423238).

The spelling of 1012111311137 in words is "one trillion, twelve billion, one hundred eleven million, three hundred eleven thousand, one hundred thirty-seven".