10400133201 has 16 divisors (see below), whose sum is σ = 14125428096. Its totient is φ = 6805322496.

The previous prime is 10400133199. The next prime is 10400133203. The reversal of 10400133201 is 10233100401.

10400133201 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 (10400133199) and next prime (10400133203).

It is not a de Polignac number, because 10400133201 - 2¹ = 10400133199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10400133203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114010 + ... + 183843.

It is an arithmetic number, because the mean of its divisors is an integer number (882839256).

Almost surely, 2^10400133201 is an apocalyptic number.

It is an amenable number.

10400133201 is a deficient number, since it is larger than the sum of its proper divisors (3725294895).

10400133201 is a wasteful number, since it uses less digits than its factorization.

10400133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298072.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10400133201 its reverse (10233100401), we get a palindrome (20633233602).

The spelling of 10400133201 in words is "ten billion, four hundred million, one hundred thirty-three thousand, two hundred one".