10310344410401 has 12 divisors (see below), whose sum is σ = 12128426243460. Its totient is φ = 8738141005440.

The previous prime is 10310344410347. The next prime is 10310344410437. The reversal of 10310344410401 is 10401444301301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3024399246400 + 7285945164001 = 1739080^2 + 2699249^2 .

It is not a de Polignac number, because 10310344410401 - 2³⁸ = 10035466503457 is a prime.

It is a super-2 number, since 2×10310344410401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10310344410601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182103460 + ... + 1182112181.

It is an arithmetic number, because the mean of its divisors is an integer number (1010702186955).

Almost surely, 2^{10310344410401} is an apocalyptic number.

It is an amenable number.

10310344410401 is a deficient number, since it is larger than the sum of its proper divisors (1818081833059).

10310344410401 is an equidigital number, since it uses as much as digits as its factorization.

10310344410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364215744 (or 2364215737 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10310344410401 its reverse (10401444301301), we get a palindrome (20711788711702).

The spelling of 10310344410401 in words is "ten trillion, three hundred ten billion, three hundred forty-four million, four hundred ten thousand, four hundred one".