110101001010013 has 12 divisors (see below), whose sum is σ = 119383122672480. Its totient is φ = 101494167152976.

The previous prime is 110101001009977. The next prime is 110101001010019. The reversal of 110101001010013 is 310010100101011.

It is a de Polignac number, because none of the positive numbers 2^k-110101001010013 is a prime.

It is a super-2 number, since 2×110101001010013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101001010019) 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, 440663481 + ... + 440913262.

It is an arithmetic number, because the mean of its divisors is an integer number (9948593556040).

Almost surely, 2^{110101001010013} is an apocalyptic number.

110101001010013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110101001010013 is a deficient number, since it is larger than the sum of its proper divisors (9282121662467).

110101001010013 is an equidigital number, since it uses as much as digits as its factorization.

110101001010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881577508 (or 881577495 counting only the distinct ones).

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

Adding to 110101001010013 its reverse (310010100101011), we get a palindrome (420111101111024).

The spelling of 110101001010013 in words is "one hundred ten trillion, one hundred one billion, one million, ten thousand, thirteen".