10541313514311 has 16 divisors (see below), whose sum is σ = 14540016021600. Its totient is φ = 6785085783168.

The previous prime is 10541313514289. The next prime is 10541313514313. The reversal of 10541313514311 is 11341531314501.

It is not a de Polignac number, because 10541313514311 - 2⁵ = 10541313514279 is a prime.

It is a super-2 number, since 2×10541313514311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541313514313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3631725 + ... + 5854233.

It is an arithmetic number, because the mean of its divisors is an integer number (908751001350).

Almost surely, 2^{10541313514311} is an apocalyptic number.

10541313514311 is a deficient number, since it is larger than the sum of its proper divisors (3998702507289).

10541313514311 is a wasteful number, since it uses less digits than its factorization.

10541313514311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277058.

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 10541313514311 its reverse (11341531314501), we get a palindrome (21882844828812).

The spelling of 10541313514311 in words is "ten trillion, five hundred forty-one billion, three hundred thirteen million, five hundred fourteen thousand, three hundred eleven".