101431134101 has 16 divisors (see below), whose sum is σ = 110975538240. Its totient is φ = 91940872320.

The previous prime is 101431134073. The next prime is 101431134127.

101431134101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101431134101 - 2³⁰ = 100357392277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101431134401) 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, 10748081 + ... + 10757513.

It is an arithmetic number, because the mean of its divisors is an integer number (6935971140).

Almost surely, 2^101431134101 is an apocalyptic number.

101431134101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101431134101 is a deficient number, since it is larger than the sum of its proper divisors (9544404139).

101431134101 is a wasteful number, since it uses less digits than its factorization.

101431134101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 101431 and 134101, that added together give a palindrome (235532).

The spelling of 101431134101 in words is "one hundred one billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred one".