101431302315200 has 504 divisors, whose sum is σ = 307647987411456. Its totient is φ = 32566550016000.

The previous prime is 101431302315197. The next prime is 101431302315247. The reversal of 101431302315200 is 2513203134101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 101431302315200.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 67669865 + ... + 69152535.

Almost surely, 2^{101431302315200} is an apocalyptic number.

101431302315200 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 101431302315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153823993705728).

101431302315200 is an abundant number, since it is smaller than the sum of its proper divisors (206216685096256).

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

101431302315200 is a wasteful number, since it uses less digits than its factorization.

101431302315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482753 (or 1482725 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 101431302315200 its reverse (2513203134101), we get a palindrome (103944505449301).

The spelling of 101431302315200 in words is "one hundred one trillion, four hundred thirty-one billion, three hundred two million, three hundred fifteen thousand, two hundred".