10400013421133 has 16 divisors (see below), whose sum is σ = 12406084644096. Its totient is φ = 8524254963840.

The previous prime is 10400013421129. The next prime is 10400013421141. The reversal of 10400013421133 is 33112431000401.

It is not a de Polignac number, because 10400013421133 - 2² = 10400013421129 is a prime.

It is a super-2 number, since 2×10400013421133² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400013421099 and 10400013421108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400013420133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8774816 + ... + 9889257.

It is an arithmetic number, because the mean of its divisors is an integer number (775380290256).

Almost surely, 2^{10400013421133} is an apocalyptic number.

It is an amenable number.

10400013421133 is a deficient number, since it is larger than the sum of its proper divisors (2006071222963).

10400013421133 is a wasteful number, since it uses less digits than its factorization.

10400013421133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18667564.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10400013421133 its reverse (33112431000401), we get a palindrome (43512444421534).

The spelling of 10400013421133 in words is "ten trillion, four hundred billion, thirteen million, four hundred twenty-one thousand, one hundred thirty-three".