103313313301 has 24 divisors (see below), whose sum is σ = 117954103680. Its totient is φ = 89734444800.

The previous prime is 103313313281. The next prime is 103313313353.

103313313301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103313313301 - 2¹¹ = 103313311253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313313361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5291365 + ... + 5310853.

It is an arithmetic number, because the mean of its divisors is an integer number (4914754320).

Almost surely, 2^103313313301 is an apocalyptic number.

103313313301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103313313301 is a deficient number, since it is larger than the sum of its proper divisors (14640790379).

103313313301 is a wasteful number, since it uses less digits than its factorization.

103313313301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20457 (or 20434 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

It can be divided in two parts, 103313 and 313301, that added together give a palindrome (416614).

The spelling of 103313313301 in words is "one hundred three billion, three hundred thirteen million, three hundred thirteen thousand, three hundred one".