10111411431 has 48 divisors (see below), whose sum is σ = 17180916480. Its totient is φ = 5663952000.

The previous prime is 10111411379. The next prime is 10111411433. The reversal of 10111411431 is 13411411101.

It is not a de Polignac number, because 10111411431 - 2⁶ = 10111411367 is a prime.

It is a super-2 number, since 2×10111411431² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111411433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11566 + ... + 142676.

It is an arithmetic number, because the mean of its divisors is an integer number (357935760).

Almost surely, 2^10111411431 is an apocalyptic number.

10111411431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111411431 is a deficient number, since it is larger than the sum of its proper divisors (7069505049).

10111411431 is a wasteful number, since it uses less digits than its factorization.

10111411431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131188 (or 131185 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10111411431 its reverse (13411411101), we get a palindrome (23522822532).

The spelling of 10111411431 in words is "ten billion, one hundred eleven million, four hundred eleven thousand, four hundred thirty-one".