101431043122311 has 12 divisors (see below), whose sum is σ = 167441721979792. Its totient is φ = 57960596069856.

The previous prime is 101431043122303. The next prime is 101431043122337. The reversal of 101431043122311 is 113221340134101.

101431043122311 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 1 + 0 + 431 + 223 + 1 + 1 = 666.

It is not a de Polignac number, because 101431043122311 - 2³ = 101431043122303 is a prime.

It is a super-2 number, since 2×101431043122311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101431043122361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 805008278686 + ... + 805008278811.

Almost surely, 2^{101431043122311} is an apocalyptic number.

101431043122311 is a deficient number, since it is larger than the sum of its proper divisors (66010678857481).

101431043122311 is a wasteful number, since it uses less digits than its factorization.

101431043122311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610016557510 (or 1610016557507 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101431043122311 its reverse (113221340134101), we get a palindrome (214652383256412).

The spelling of 101431043122311 in words is "one hundred one trillion, four hundred thirty-one billion, forty-three million, one hundred twenty-two thousand, three hundred eleven".