103413411340335 has 48 divisors (see below), whose sum is σ = 180689726625408. Its totient is φ = 54712319616000.

The previous prime is 103413411340303. The next prime is 103413411340409. The reversal of 103413411340335 is 533043114314301.

103413411340335 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 134 + 113 + 403 + 3 + 5 = 666.

It is not a de Polignac number, because 103413411340335 - 2⁵ = 103413411340303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103413411340335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12564967 + ... + 19097256.

It is an arithmetic number, because the mean of its divisors is an integer number (3764369304696).

Almost surely, 2^{103413411340335} is an apocalyptic number.

103413411340335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103413411340335 is a deficient number, since it is larger than the sum of its proper divisors (77276315285073).

103413411340335 is a wasteful number, since it uses less digits than its factorization.

103413411340335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31662816 (or 31662813 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 103413411340335 its reverse (533043114314301), we get a palindrome (636456525654636).

The spelling of 103413411340335 in words is "one hundred three trillion, four hundred thirteen billion, four hundred eleven million, three hundred forty thousand, three hundred thirty-five".