1011413123213 has 2 divisors, whose sum is σ = 1011413123214. Its totient is φ = 1011413123212.

The previous prime is 1011413123137. The next prime is 1011413123249. The reversal of 1011413123213 is 3123213141101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 856729806409 + 154683316804 = 925597^2 + 393298^2 .

It is an emirp because it is prime and its reverse (3123213141101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011413123213 - 2⁸ = 1011413122957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011413123263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505706561606 + 505706561607.

It is an arithmetic number, because the mean of its divisors is an integer number (505706561607).

Almost surely, 2^{1011413123213} is an apocalyptic number.

It is an amenable number.

1011413123213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011413123213 is an equidigital number, since it uses as much as digits as its factorization.

1011413123213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 1011413123213 its reverse (3123213141101), we get a palindrome (4134626264314).

The spelling of 1011413123213 in words is "one trillion, eleven billion, four hundred thirteen million, one hundred twenty-three thousand, two hundred thirteen".