101431213411 has 24 divisors (see below), whose sum is σ = 116481238272. Its totient is φ = 88092404400.

The previous prime is 101431213393. The next prime is 101431213453. The reversal of 101431213411 is 114312134101.

It is not a de Polignac number, because 101431213411 - 2¹¹ = 101431211363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101431211411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2279506 + ... + 2323576.

It is an arithmetic number, because the mean of its divisors is an integer number (4853384928).

Almost surely, 2^101431213411 is an apocalyptic number.

101431213411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101431213411 is a deficient number, since it is larger than the sum of its proper divisors (15050024861).

101431213411 is a wasteful number, since it uses less digits than its factorization.

101431213411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44943 (or 44932 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101431213411 its reverse (114312134101), we get a palindrome (215743347512).

The spelling of 101431213411 in words is "one hundred one billion, four hundred thirty-one million, two hundred thirteen thousand, four hundred eleven".