10411431311201 has 8 divisors (see below), whose sum is σ = 11079827173800. Its totient is φ = 9749253084928.

The previous prime is 10411431311117. The next prime is 10411431311291. The reversal of 10411431311201 is 10211313411401.

It can be written as a sum of positive squares in 4 ways, for example, as 8914858322176 + 1496572989025 = 2985776^2 + 1223345^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10411431311201 - 2²² = 10411427116897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10411431311291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1554405626 + ... + 1554412323.

It is an arithmetic number, because the mean of its divisors is an integer number (1384978396725).

Almost surely, 2^{10411431311201} is an apocalyptic number.

It is an amenable number.

10411431311201 is a deficient number, since it is larger than the sum of its proper divisors (668395862599).

10411431311201 is a wasteful number, since it uses less digits than its factorization.

10411431311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108818163.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 10411431311201 its reverse (10211313411401), we get a palindrome (20622744722602).

The spelling of 10411431311201 in words is "ten trillion, four hundred eleven billion, four hundred thirty-one million, three hundred eleven thousand, two hundred one".