10400404004131 has 2 divisors, whose sum is σ = 10400404004132. Its totient is φ = 10400404004130.

The previous prime is 10400404004021. The next prime is 10400404004141. The reversal of 10400404004131 is 13140040400401.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10400404004131 - 2¹³ = 10400403995939 is a prime.

It is a super-2 number, since 2×10400404004131² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10400404004141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200202002065 + 5200202002066.

It is an arithmetic number, because the mean of its divisors is an integer number (5200202002066).

Almost surely, 2^{10400404004131} is an apocalyptic number.

10400404004131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400404004131 is an equidigital number, since it uses as much as digits as its factorization.

10400404004131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10400404004131 its reverse (13140040400401), we get a palindrome (23540444404532).

The spelling of 10400404004131 in words is "ten trillion, four hundred billion, four hundred four million, four thousand, one hundred thirty-one".