413131014101 has 8 divisors (see below), whose sum is σ = 444916147200. Its totient is φ = 381346713072.

The previous prime is 413131014059. The next prime is 413131014133. The reversal of 413131014101 is 101410131314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 413131014101 - 2¹⁰ = 413131013077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413131014151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153100 + ... + 1468298.

It is an arithmetic number, because the mean of its divisors is an integer number (55614518400).

Almost surely, 2^413131014101 is an apocalyptic number.

It is an amenable number.

413131014101 is a deficient number, since it is larger than the sum of its proper divisors (31785133099).

413131014101 is a wasteful number, since it uses less digits than its factorization.

413131014101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416035.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 413131014101 its reverse (101410131314), we get a palindrome (514541145415).

The spelling of 413131014101 in words is "four hundred thirteen billion, one hundred thirty-one million, fourteen thousand, one hundred one".