103013310301 has 16 divisors (see below), whose sum is σ = 114749221248. Its totient is φ = 91691308800.

The previous prime is 103013310289. The next prime is 103013310359.

103013310301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 103013310301 - 2¹⁷ = 103013179229 is a prime.

It is a super-2 number, since 2×103013310301² (a number of 23 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 (103013310371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358185 + ... + 578206.

It is an arithmetic number, because the mean of its divisors is an integer number (7171826328).

Almost surely, 2^103013310301 is an apocalyptic number.

103013310301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103013310301 is a deficient number, since it is larger than the sum of its proper divisors (11735910947).

103013310301 is a wasteful number, since it uses less digits than its factorization.

103013310301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936612.

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 103013 and 310301, that added together give a palindrome (413314).

The spelling of 103013310301 in words is "one hundred three billion, thirteen million, three hundred ten thousand, three hundred one".