13424042400021 has 48 divisors (see below), whose sum is σ = 21191643008640. Its totient is φ = 8120946764160.

The previous prime is 13424042400019. The next prime is 13424042400023. The reversal of 13424042400021 is 12000424042431.

13424042400021 is a `hidden beast` number, since 13 + 4 + 2 + 404 + 240 + 0 + 0 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13424042400019) and next prime (13424042400023).

It is not a de Polignac number, because 13424042400021 - 2¹ = 13424042400019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424042400023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135935755 + ... + 136034471.

It is an arithmetic number, because the mean of its divisors is an integer number (441492562680).

Almost surely, 2^{13424042400021} is an apocalyptic number.

13424042400021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13424042400021 is a deficient number, since it is larger than the sum of its proper divisors (7767600608619).

13424042400021 is a wasteful number, since it uses less digits than its factorization.

13424042400021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101226 (or 101223 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13424042400021 its reverse (12000424042431), we get a palindrome (25424466442452).

The spelling of 13424042400021 in words is "thirteen trillion, four hundred twenty-four billion, forty-two million, four hundred thousand, twenty-one".