10400133003 has 32 divisors (see below), whose sum is σ = 15202091520. Its totient is φ = 6285945600.

The previous prime is 10400132989. The next prime is 10400133013. The reversal of 10400133003 is 30033100401.

It is not a de Polignac number, because 10400133003 - 2⁵ = 10400132971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10400133013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514200 + ... + 534042.

It is an arithmetic number, because the mean of its divisors is an integer number (475065360).

Almost surely, 2^10400133003 is an apocalyptic number.

10400133003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10400133003 is a deficient number, since it is larger than the sum of its proper divisors (4801958517).

10400133003 is a wasteful number, since it uses less digits than its factorization.

10400133003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20099.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10400133003 its reverse (30033100401), we get a palindrome (40433233404).

The spelling of 10400133003 in words is "ten billion, four hundred million, one hundred thirty-three thousand, three".