10005355415331 has 12 divisors (see below), whose sum is σ = 14498650080720. Its totient is φ = 6648789234480.

The previous prime is 10005355415323. The next prime is 10005355415339. The reversal of 10005355415331 is 13351455350001.

10005355415331 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 35 + 541 + 53 + 31 = 666.

10005355415331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10005355415323) and next prime (10005355415339).

It is not a de Polignac number, because 10005355415331 - 2³ = 10005355415323 is a prime.

It is a super-2 number, since 2×10005355415331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005355415339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1787306136 + ... + 1787311733.

It is an arithmetic number, because the mean of its divisors is an integer number (1208220840060).

Almost surely, 2^{10005355415331} is an apocalyptic number.

10005355415331 is a deficient number, since it is larger than the sum of its proper divisors (4493294665389).

10005355415331 is a wasteful number, since it uses less digits than its factorization.

10005355415331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574618186 (or 3574618183 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 10005355415331 in words is "ten trillion, five billion, three hundred fifty-five million, four hundred fifteen thousand, three hundred thirty-one".