110101010013 has 12 divisors (see below), whose sum is σ = 159913439868. Its totient is φ = 72995143680.

The previous prime is 110101009999. The next prime is 110101010027. The reversal of 110101010013 is 310010101011.

It is an interprime number because it is at equal distance from previous prime (110101009999) and next prime (110101010027).

It can be written as a sum of positive squares in 2 ways, for example, as 51402865284 + 58698144729 = 226722^2 + 242277^2 .

It is not a de Polignac number, because 110101010013 - 2¹³ = 110101001821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110101009977 and 110101010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101010053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33792420 + ... + 33795677.

It is an arithmetic number, because the mean of its divisors is an integer number (13326119989).

Almost surely, 2^110101010013 is an apocalyptic number.

It is an amenable number.

110101010013 is a deficient number, since it is larger than the sum of its proper divisors (49812429855).

110101010013 is a wasteful number, since it uses less digits than its factorization.

110101010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67588284 (or 67588281 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 110101010013 its reverse (310010101011), we get a palindrome (420111111024).

The spelling of 110101010013 in words is "one hundred ten billion, one hundred one million, ten thousand, thirteen".