103314103010040 has 64 divisors (see below), whose sum is σ = 333784025114400. Its totient is φ = 25431163817472.

The previous prime is 103314103010033. The next prime is 103314103010047. The reversal of 103314103010040 is 40010301413301.

103314103010040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103314103010033) and next prime (103314103010047).

It is a junction number, because it is equal to n+sod(n) for n = 103314103009989 and 103314103010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103314103010047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33113492995 + ... + 33113496114.

Almost surely, 2^{103314103010040} is an apocalyptic number.

103314103010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103314103010040 is an abundant number, since it is smaller than the sum of its proper divisors (230469922104360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103314103010040 is a wasteful number, since it uses less digits than its factorization.

103314103010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66226989136 (or 66226989132 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103314103010040 its reverse (40010301413301), we get a palindrome (143324404423341).

The spelling of 103314103010040 in words is "one hundred three trillion, three hundred fourteen billion, one hundred three million, ten thousand, forty".