40022100013 has 16 divisors (see below), whose sum is σ = 46321683840. Its totient is φ = 33869189376.

The previous prime is 40022099987. The next prime is 40022100143. The reversal of 40022100013 is 31000122004.

It is a cyclic number.

It is not a de Polignac number, because 40022100013 - 2²⁹ = 39485229101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40022099966 and 40022100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40022100413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378481 + ... + 472537.

It is an arithmetic number, because the mean of its divisors is an integer number (2895105240).

Almost surely, 2^40022100013 is an apocalyptic number.

It is an amenable number.

40022100013 is a deficient number, since it is larger than the sum of its proper divisors (6299583827).

40022100013 is an equidigital number, since it uses as much as digits as its factorization.

40022100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94836.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 40022100013 its reverse (31000122004), we get a palindrome (71022222017).

The spelling of 40022100013 in words is "forty billion, twenty-two million, one hundred thousand, thirteen".