10032400213 has 16 divisors (see below), whose sum is σ = 11613355776. Its totient is φ = 8565258240.

The previous prime is 10032400207. The next prime is 10032400223. The reversal of 10032400213 is 31200423001.

It is a happy number.

It is not a de Polignac number, because 10032400213 - 2²⁹ = 9495529301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032400223) 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 15 ways as a sum of consecutive naturals, for example, 28645 + ... + 144517.

It is an arithmetic number, because the mean of its divisors is an integer number (725834736).

Almost surely, 2^10032400213 is an apocalyptic number.

It is an amenable number.

10032400213 is a deficient number, since it is larger than the sum of its proper divisors (1580955563).

10032400213 is a wasteful number, since it uses less digits than its factorization.

10032400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116364.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10032400213 its reverse (31200423001), we get a palindrome (41232823214).

The spelling of 10032400213 in words is "ten billion, thirty-two million, four hundred thousand, two hundred thirteen".