1013213111137 has 2 divisors, whose sum is σ = 1013213111138. Its totient is φ = 1013213111136.

The previous prime is 1013213111077. The next prime is 1013213111153. The reversal of 1013213111137 is 7311113123101.

1013213111137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 965549925376 + 47663185761 = 982624^2 + 218319^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013213111137 - 2¹⁹ = 1013212586849 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013213111177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506606555568 + 506606555569.

It is an arithmetic number, because the mean of its divisors is an integer number (506606555569).

Almost surely, 2^{1013213111137} is an apocalyptic number.

It is an amenable number.

1013213111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013213111137 is an equidigital number, since it uses as much as digits as its factorization.

1013213111137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 25.

Adding to 1013213111137 its reverse (7311113123101), we get a palindrome (8324326234238).

The spelling of 1013213111137 in words is "one trillion, thirteen billion, two hundred thirteen million, one hundred eleven thousand, one hundred thirty-seven".