10002133005 has 32 divisors (see below), whose sum is σ = 16951400064. Its totient is φ = 5018720256.

The previous prime is 10002132997. The next prime is 10002133021. The reversal of 10002133005 is 50033120001.

It is a happy number.

It is not a de Polignac number, because 10002133005 - 2³ = 10002132997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 824514 + ... + 836556.

It is an arithmetic number, because the mean of its divisors is an integer number (529731252).

Almost surely, 2^10002133005 is an apocalyptic number.

10002133005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002133005 is a deficient number, since it is larger than the sum of its proper divisors (6949267059).

10002133005 is a wasteful number, since it uses less digits than its factorization.

10002133005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15325.

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 10002133005 its reverse (50033120001), we get a palindrome (60035253006).

The spelling of 10002133005 in words is "ten billion, two million, one hundred thirty-three thousand, five".