10400131333 has 8 divisors (see below), whose sum is σ = 10552032000. Its totient is φ = 10248381360.

The previous prime is 10400131319. The next prime is 10400131349. The reversal of 10400131333 is 33313100401.

10400131333 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400131333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10400131333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400131303) 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 7 ways as a sum of consecutive naturals, for example, 105291 + ... + 178567.

It is an arithmetic number, because the mean of its divisors is an integer number (1319004000).

Almost surely, 2^10400131333 is an apocalyptic number.

It is an amenable number.

10400131333 is a deficient number, since it is larger than the sum of its proper divisors (151900667).

10400131333 is an equidigital number, since it uses as much as digits as its factorization.

10400131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75347.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10400131333 its reverse (33313100401), we get a palindrome (43713231734).

The spelling of 10400131333 in words is "ten billion, four hundred million, one hundred thirty-one thousand, three hundred thirty-three".