101431344000 has 512 divisors, whose sum is σ = 387468656640. Its totient is φ = 22992076800.

The previous prime is 101431343971. The next prime is 101431344011. The reversal of 101431344000 is 443134101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42670812 + ... + 42673188.

It is an arithmetic number, because the mean of its divisors is an integer number (756774720).

Almost surely, 2^101431344000 is an apocalyptic number.

101431344000 is a gapful number since it is divisible by the number (10) 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 101431344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193734328320).

101431344000 is an abundant number, since it is smaller than the sum of its proper divisors (286037312640).

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

101431344000 is a wasteful number, since it uses less digits than its factorization.

101431344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101431344000 its reverse (443134101), we get a palindrome (101874478101).

The spelling of 101431344000 in words is "one hundred one billion, four hundred thirty-one million, three hundred forty-four thousand".