101431234311 has 16 divisors (see below), whose sum is σ = 148526524800. Its totient is φ = 61060898720.

The previous prime is 101431234297. The next prime is 101431234313. The reversal of 101431234311 is 113432134101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101431234311 - 2¹⁰ = 101431233287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101431234313) 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, 10309425 + ... + 10319258.

It is an arithmetic number, because the mean of its divisors is an integer number (9282907800).

Almost surely, 2^101431234311 is an apocalyptic number.

101431234311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101431234311 is a deficient number, since it is larger than the sum of its proper divisors (47095290489).

101431234311 is a wasteful number, since it uses less digits than its factorization.

101431234311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20628846.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101431234311 its reverse (113432134101), we get a palindrome (214863368412).

The spelling of 101431234311 in words is "one hundred one billion, four hundred thirty-one million, two hundred thirty-four thousand, three hundred eleven".