2101011231013 has 2 divisors, whose sum is σ = 2101011231014. Its totient is φ = 2101011231012.

The previous prime is 2101011230977. The next prime is 2101011231017. The reversal of 2101011231013 is 3101321101012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2066512626369 + 34498604644 = 1437537^2 + 185738^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101011231013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101011231017) 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, 1050505615506 + 1050505615507.

It is an arithmetic number, because the mean of its divisors is an integer number (1050505615507).

Almost surely, 2^{2101011231013} is an apocalyptic number.

It is an amenable number.

2101011231013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101011231013 is an equidigital number, since it uses as much as digits as its factorization.

2101011231013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2101011231013 its reverse (3101321101012), we get a palindrome (5202332332025).

The spelling of 2101011231013 in words is "two trillion, one hundred one billion, eleven million, two hundred thirty-one thousand, thirteen".