10400131206 has 48 divisors (see below), whose sum is σ = 23333356800. Its totient is φ = 3343906944.

The previous prime is 10400131187. The next prime is 10400131211. The reversal of 10400131206 is 60213100401.

It is a happy number.

10400131206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 558250 + ... + 576578.

It is an arithmetic number, because the mean of its divisors is an integer number (486111600).

Almost surely, 2^10400131206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400131206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11666678400).

10400131206 is an abundant number, since it is smaller than the sum of its proper divisors (12933225594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10400131206 is a wasteful number, since it uses less digits than its factorization.

10400131206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19453 (or 19450 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10400131206 its reverse (60213100401), we get a palindrome (70613231607).

The spelling of 10400131206 in words is "ten billion, four hundred million, one hundred thirty-one thousand, two hundred six".