103113431314033 has 16 divisors (see below), whose sum is σ = 124842606580224. Its totient is φ = 83139484792320.

The previous prime is 103113431313989. The next prime is 103113431314039. The reversal of 103113431314033 is 330413134311301.

It is a happy number.

It is not a de Polignac number, because 103113431314033 - 2¹⁷ = 103113431182961 is a prime.

It is a super-3 number, since 3×103113431314033³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103113431313986 and 103113431314004.

It is not an unprimeable number, because it can be changed into a prime (103113431314039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231337860 + ... + 231783157.

It is an arithmetic number, because the mean of its divisors is an integer number (7802662911264).

Almost surely, 2^{103113431314033} is an apocalyptic number.

It is an amenable number.

103113431314033 is a deficient number, since it is larger than the sum of its proper divisors (21729175266191).

103113431314033 is a wasteful number, since it uses less digits than its factorization.

103113431314033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463122912.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 103113431314033 its reverse (330413134311301), we get a palindrome (433526565625334).

The spelling of 103113431314033 in words is "one hundred three trillion, one hundred thirteen billion, four hundred thirty-one million, three hundred fourteen thousand, thirty-three".