110101210002013 has 2 divisors, whose sum is σ = 110101210002014. Its totient is φ = 110101210002012.

The previous prime is 110101210001987. The next prime is 110101210002053. The reversal of 110101210002013 is 310200012101011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108636052271044 + 1465157730969 = 10422862^2 + 1210437^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101210002013 - 2⁹ = 110101210001501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101210001984 and 110101210002002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101210002053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050605001006 + 55050605001007.

It is an arithmetic number, because the mean of its divisors is an integer number (55050605001007).

Almost surely, 2^{110101210002013} is an apocalyptic number.

It is an amenable number.

110101210002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101210002013 is an equidigital number, since it uses as much as digits as its factorization.

110101210002013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 110101210002013 its reverse (310200012101011), we get a palindrome (420301222103024).

The spelling of 110101210002013 in words is "one hundred ten trillion, one hundred one billion, two hundred ten million, two thousand, thirteen".