13120414413001 has 12 divisors (see below), whose sum is σ = 15287918135700. Its totient is φ = 11227357209600.

The previous prime is 13120414412993. The next prime is 13120414413013. The reversal of 13120414413001 is 10031441402131.

It can be written as a sum of positive squares in 2 ways, for example, as 5580579405625 + 7539835007376 = 2362325^2 + 2745876^2 .

It is not a de Polignac number, because 13120414413001 - 2³ = 13120414412993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13120414416001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222735576 + ... + 222794473.

It is an arithmetic number, because the mean of its divisors is an integer number (1273993177975).

Almost surely, 2^{13120414413001} is an apocalyptic number.

It is an amenable number.

13120414413001 is a deficient number, since it is larger than the sum of its proper divisors (2167503722699).

13120414413001 is an equidigital number, since it uses as much as digits as its factorization.

13120414413001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445530664 (or 445530657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13120414413001 its reverse (10031441402131), we get a palindrome (23151855815132).

The spelling of 13120414413001 in words is "thirteen trillion, one hundred twenty billion, four hundred fourteen million, four hundred thirteen thousand, one".