10005554431413 has 12 divisors (see below), whose sum is σ = 14452696067680. Its totient is φ = 6670264133736.

The previous prime is 10005554431349. The next prime is 10005554431451. The reversal of 10005554431413 is 31413445550001.

10005554431413 is a `hidden beast` number, since 100 + 0 + 5 + 5 + 544 + 3 + 1 + 4 + 1 + 3 = 666.

It is not a de Polignac number, because 10005554431413 - 2⁶ = 10005554431349 is a prime.

It is a super-2 number, since 2×10005554431413² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005554431513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8187703 + ... + 9330036.

Almost surely, 2^{10005554431413} is an apocalyptic number.

It is an amenable number.

10005554431413 is a deficient number, since it is larger than the sum of its proper divisors (4447141636267).

10005554431413 is a wasteful number, since it uses less digits than its factorization.

10005554431413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17581208 (or 17581205 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10005554431413 its reverse (31413445550001), we get a palindrome (41418999981414).

The spelling of 10005554431413 in words is "ten trillion, five billion, five hundred fifty-four million, four hundred thirty-one thousand, four hundred thirteen".