101431034404 has 48 divisors (see below), whose sum is σ = 210405888000. Its totient is φ = 41861748096.

The previous prime is 101431034401. The next prime is 101431034413. The reversal of 101431034404 is 404430134101.

It is not an unprimeable number, because it can be changed into a prime (101431034401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147922 + ... + 474070.

It is an arithmetic number, because the mean of its divisors is an integer number (4383456000).

Almost surely, 2^101431034404 is an apocalyptic number.

101431034404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101431034404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105202944000).

101431034404 is an abundant number, since it is smaller than the sum of its proper divisors (108974853596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101431034404 is a wasteful number, since it uses less digits than its factorization.

101431034404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326572 (or 326570 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 101431034404 its reverse (404430134101), we get a palindrome (505861168505).

The spelling of 101431034404 in words is "one hundred one billion, four hundred thirty-one million, thirty-four thousand, four hundred four".