10400123413 has 2 divisors, whose sum is σ = 10400123414. Its totient is φ = 10400123412.

The previous prime is 10400123359. The next prime is 10400123453. The reversal of 10400123413 is 31432100401.

10400123413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8430361489 + 1969761924 = 91817^2 + 44382^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400123413 - 2²⁹ = 9863252501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400123453) 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 as a sum of consecutive naturals, namely, 5200061706 + 5200061707.

It is an arithmetic number, because the mean of its divisors is an integer number (5200061707).

Almost surely, 2^10400123413 is an apocalyptic number.

It is an amenable number.

10400123413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400123413 is an equidigital number, since it uses as much as digits as its factorization.

10400123413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10400123413 its reverse (31432100401), we get a palindrome (41832223814).

The spelling of 10400123413 in words is "ten billion, four hundred million, one hundred twenty-three thousand, four hundred thirteen".