10401126013 has 2 divisors, whose sum is σ = 10401126014. Its totient is φ = 10401126012.

The previous prime is 10401125953. The next prime is 10401126023. The reversal of 10401126013 is 31062110401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6688295524 + 3712830489 = 81782^2 + 60933^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401126013 - 2¹⁷ = 10400994941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10401126023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200563006 + 5200563007.

It is an arithmetic number, because the mean of its divisors is an integer number (5200563007).

Almost surely, 2^10401126013 is an apocalyptic number.

It is an amenable number.

10401126013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401126013 is an equidigital number, since it uses as much as digits as its factorization.

10401126013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10401126013 its reverse (31062110401), we get a palindrome (41463236414).

The spelling of 10401126013 in words is "ten billion, four hundred one million, one hundred twenty-six thousand, thirteen".