103413404314301 has 32 divisors (see below), whose sum is σ = 116417357008128. Its totient is φ = 91338567091200.

The previous prime is 103413404314271. The next prime is 103413404314307.

103413404314301 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-103413404314301 is a prime.

It is a super-4 number, since 4×103413404314301⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103413404314307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684550226 + ... + 684701276.

It is an arithmetic number, because the mean of its divisors is an integer number (3638042406504).

Almost surely, 2^{103413404314301} is an apocalyptic number.

It is an amenable number.

103413404314301 is a deficient number, since it is larger than the sum of its proper divisors (13003952693827).

103413404314301 is a wasteful number, since it uses less digits than its factorization.

103413404314301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184181.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 10341340 and 4314301, that added together give a palindrome (14655641).

The spelling of 103413404314301 in words is "one hundred three trillion, four hundred thirteen billion, four hundred four million, three hundred fourteen thousand, three hundred one".