10401213313 has 2 divisors, whose sum is σ = 10401213314. Its totient is φ = 10401213312.

The previous prime is 10401213299. The next prime is 10401213353. The reversal of 10401213313 is 31331210401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9237516544 + 1163696769 = 96112^2 + 34113^2 .

It is an emirp because it is prime and its reverse (31331210401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10401213313 - 2²⁹ = 9864342401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10401213353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200606656 + 5200606657.

It is an arithmetic number, because the mean of its divisors is an integer number (5200606657).

Almost surely, 2^10401213313 is an apocalyptic number.

It is an amenable number.

10401213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401213313 is an equidigital number, since it uses as much as digits as its factorization.

10401213313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10401213313 its reverse (31331210401), we get a palindrome (41732423714).

The spelling of 10401213313 in words is "ten billion, four hundred one million, two hundred thirteen thousand, three hundred thirteen".