10400034113 has 8 divisors (see below), whose sum is σ = 11994797760. Its totient is φ = 8832531600.

The previous prime is 10400034097. The next prime is 10400034173. The reversal of 10400034113 is 31143000401.

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

It is not a de Polignac number, because 10400034113 - 2⁴ = 10400034097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400034091 and 10400034100.

It is not an unprimeable number, because it can be changed into a prime (10400034173) 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 7 ways as a sum of consecutive naturals, for example, 6814463 + ... + 6815988.

It is an arithmetic number, because the mean of its divisors is an integer number (1499349720).

Almost surely, 2^10400034113 is an apocalyptic number.

It is an amenable number.

10400034113 is a deficient number, since it is larger than the sum of its proper divisors (1594763647).

10400034113 is a wasteful number, since it uses less digits than its factorization.

10400034113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13630567.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10400034113 its reverse (31143000401), we get a palindrome (41543034514).

The spelling of 10400034113 in words is "ten billion, four hundred million, thirty-four thousand, one hundred thirteen".