1010110001113 has 2 divisors, whose sum is σ = 1010110001114. Its totient is φ = 1010110001112.

The previous prime is 1010110001107. The next prime is 1010110001141. The reversal of 1010110001113 is 3111000110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 912661140889 + 97448860224 = 955333^2 + 312168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010110001113 is a prime.

It is a super-2 number, since 2×1010110001113² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010110001113.

It is not a weakly prime, because it can be changed into another prime (1010110001513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055000556 + 505055000557.

It is an arithmetic number, because the mean of its divisors is an integer number (505055000557).

Almost surely, 2^{1010110001113} is an apocalyptic number.

It is an amenable number.

1010110001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110001113 is an equidigital number, since it uses as much as digits as its factorization.

1010110001113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1010110001113 its reverse (3111000110101), we get a palindrome (4121110111214).

The spelling of 1010110001113 in words is "one trillion, ten billion, one hundred ten million, one thousand, one hundred thirteen".