10401204340031 has 2 divisors, whose sum is σ = 10401204340032. Its totient is φ = 10401204340030.

The previous prime is 10401204340003. The next prime is 10401204340133. The reversal of 10401204340031 is 13004340210401.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10401204340031 is a prime.

It is a super-2 number, since 2×10401204340031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10401204339979 and 10401204340006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10401204340231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200602170015 + 5200602170016.

It is an arithmetic number, because the mean of its divisors is an integer number (5200602170016).

Almost surely, 2^{10401204340031} is an apocalyptic number.

10401204340031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401204340031 is an equidigital number, since it uses as much as digits as its factorization.

10401204340031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10401204340031 its reverse (13004340210401), we get a palindrome (23405544550432).

The spelling of 10401204340031 in words is "ten trillion, four hundred one billion, two hundred four million, three hundred forty thousand, thirty-one".