4100210132013 has 80 divisors (see below), whose sum is σ = 6260962853376. Its totient is φ = 2673152876160.

The previous prime is 4100210131999. The next prime is 4100210132017. The reversal of 4100210132013 is 3102310120014.

4100210132013 is a `hidden beast` number, since 410 + 0 + 210 + 1 + 32 + 0 + 13 = 666.

4100210132013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4100210132013 - 2¹⁷ = 4100210000941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100210132017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2764807170 + ... + 2764808652.

Almost surely, 2^{4100210132013} is an apocalyptic number.

It is an amenable number.

4100210132013 is a deficient number, since it is larger than the sum of its proper divisors (2160752721363).

4100210132013 is a wasteful number, since it uses less digits than its factorization.

4100210132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 4100210132013 its reverse (3102310120014), we get a palindrome (7202520252027).

The spelling of 4100210132013 in words is "four trillion, one hundred billion, two hundred ten million, one hundred thirty-two thousand, thirteen".