103331314013 has 8 divisors (see below), whose sum is σ = 109435308408. Its totient is φ = 97230173184.

The previous prime is 103331314003. The next prime is 103331314027. The reversal of 103331314013 is 310413133301.

It can be written as a sum of positive squares in 4 ways, for example, as 24649942009 + 78681372004 = 157003^2 + 280502^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 103331314013 - 2¹⁶ = 103331248477 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103331314013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103331314003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638606 + ... + 783887.

It is an arithmetic number, because the mean of its divisors is an integer number (13679413551).

Almost surely, 2^103331314013 is an apocalyptic number.

It is an amenable number.

103331314013 is a deficient number, since it is larger than the sum of its proper divisors (6103994395).

103331314013 is a wasteful number, since it uses less digits than its factorization.

103331314013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426783.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103331314013 its reverse (310413133301), we get a palindrome (413744447314).

The spelling of 103331314013 in words is "one hundred three billion, three hundred thirty-one million, three hundred fourteen thousand, thirteen".