12400100413 has 16 divisors (see below), whose sum is σ = 12827465136. Its totient is φ = 11977804800.

The previous prime is 12400100399. The next prime is 12400100431. The reversal of 12400100413 is 31400100421.

It can be written as a sum of positive squares in 8 ways, for example, as 308458969 + 12091641444 = 17563^2 + 109962^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12400100413 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 (12400140413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7686795 + ... + 7688407.

It is an arithmetic number, because the mean of its divisors is an integer number (801716571).

Almost surely, 2^12400100413 is an apocalyptic number.

It is an amenable number.

12400100413 is a deficient number, since it is larger than the sum of its proper divisors (427364723).

12400100413 is a wasteful number, since it uses less digits than its factorization.

12400100413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12400100413 its reverse (31400100421), we get a palindrome (43800200834).

The spelling of 12400100413 in words is "twelve billion, four hundred million, one hundred thousand, four hundred thirteen".