103301031414042 has 160 divisors (see below), whose sum is σ = 295625717380224. Its totient is φ = 26177011315200.

The previous prime is 103301031414037. The next prime is 103301031414073. The reversal of 103301031414042 is 240414130103301.

103301031414042 is a `hidden beast` number, since 1 + 0 + 3 + 301 + 0 + 314 + 1 + 4 + 0 + 42 = 666.

It is a super-2 number, since 2×103301031414042² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103301031413997 and 103301031414015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100480123 + ... + 101502990.

Almost surely, 2^{103301031414042} is an apocalyptic number.

103301031414042 is an abundant number, since it is smaller than the sum of its proper divisors (192324685966182).

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

103301031414042 is a wasteful number, since it uses less digits than its factorization.

103301031414042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201983186 (or 201983177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103301031414042 its reverse (240414130103301), we get a palindrome (343715161517343).

The spelling of 103301031414042 in words is "one hundred three trillion, three hundred one billion, thirty-one million, four hundred fourteen thousand, forty-two".