1011131003101 has 2 divisors, whose sum is σ = 1011131003102. Its totient is φ = 1011131003100.

The previous prime is 1011131003041. The next prime is 1011131003137. The reversal of 1011131003101 is 1013001311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 976685499076 + 34445504025 = 988274^2 + 185595^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011131003101 - 2²³ = 1011122614493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011131003171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505565501550 + 505565501551.

It is an arithmetic number, because the mean of its divisors is an integer number (505565501551).

Almost surely, 2^{1011131003101} is an apocalyptic number.

It is an amenable number.

1011131003101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011131003101 is an equidigital number, since it uses as much as digits as its factorization.

1011131003101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1011131003101 its reverse (1013001311101), we get a palindrome (2024132314202).

The spelling of 1011131003101 in words is "one trillion, eleven billion, one hundred thirty-one million, three thousand, one hundred one".