11006510314431 has 32 divisors (see below), whose sum is σ = 15593524128000. Its totient is φ = 6886173450240.

The previous prime is 11006510314427. The next prime is 11006510314463. The reversal of 11006510314431 is 13441301560011.

11006510314431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11006510314431 - 2² = 11006510314427 is a prime.

It is a super-2 number, since 2×11006510314431² (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 (11006510314231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575920 + ... + 4727018.

It is an arithmetic number, because the mean of its divisors is an integer number (487297629000).

Almost surely, 2^{11006510314431} is an apocalyptic number.

11006510314431 is a deficient number, since it is larger than the sum of its proper divisors (4587013813569).

11006510314431 is a wasteful number, since it uses less digits than its factorization.

11006510314431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151559.

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 11006510314431 its reverse (13441301560011), we get a palindrome (24447811874442).

The spelling of 11006510314431 in words is "eleven trillion, six billion, five hundred ten million, three hundred fourteen thousand, four hundred thirty-one".