103013012310019 has 64 divisors (see below), whose sum is σ = 124877555712000. Its totient is φ = 83010243381120.

The previous prime is 103013012310017. The next prime is 103013012310023. The reversal of 103013012310019 is 910013210310301.

It is a cyclic number.

It is not a de Polignac number, because 103013012310019 - 2¹ = 103013012310017 is a prime.

It is a super-2 number, since 2×103013012310019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103013012309975 and 103013012310002.

It is not an unprimeable number, because it can be changed into a prime (103013012310017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8613842362 + ... + 8613854320.

It is an arithmetic number, because the mean of its divisors is an integer number (1951211808000).

Almost surely, 2^{103013012310019} is an apocalyptic number.

103013012310019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

103013012310019 is a deficient number, since it is larger than the sum of its proper divisors (21864543401981).

103013012310019 is a wasteful number, since it uses less digits than its factorization.

103013012310019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13208.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 103013012310019 in words is "one hundred three trillion, thirteen billion, twelve million, three hundred ten thousand, nineteen".