10401331124213 has 2 divisors, whose sum is σ = 10401331124214. Its totient is φ = 10401331124212.

The previous prime is 10401331124209. The next prime is 10401331124221. The reversal of 10401331124213 is 31242113310401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8798063619409 + 1603267504804 = 2966153^2 + 1266202^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401331124213 - 2² = 10401331124209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10401331124273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200665562106 + 5200665562107.

It is an arithmetic number, because the mean of its divisors is an integer number (5200665562107).

Almost surely, 2^{10401331124213} is an apocalyptic number.

It is an amenable number.

10401331124213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401331124213 is an equidigital number, since it uses as much as digits as its factorization.

10401331124213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 10401331124213 its reverse (31242113310401), we get a palindrome (41643444434614).

The spelling of 10401331124213 in words is "ten trillion, four hundred one billion, three hundred thirty-one million, one hundred twenty-four thousand, two hundred thirteen".