101431403409 has 48 divisors (see below), whose sum is σ = 158305266432. Its totient is φ = 57599281152.

The previous prime is 101431403369. The next prime is 101431403417. The reversal of 101431403409 is 904304134101.

It is not a de Polignac number, because 101431403409 - 2²⁴ = 101414626193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101431403419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49165912 + ... + 49167974.

It is an arithmetic number, because the mean of its divisors is an integer number (3298026384).

Almost surely, 2^101431403409 is an apocalyptic number.

It is an amenable number.

101431403409 is a deficient number, since it is larger than the sum of its proper divisors (56873863023).

101431403409 is a wasteful number, since it uses less digits than its factorization.

101431403409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 101431403409 in words is "one hundred one billion, four hundred thirty-one million, four hundred three thousand, four hundred nine".