101304314430000 has 800 divisors, whose sum is σ = 377509452705792. Its totient is φ = 23159875200000.

The previous prime is 101304314429921. The next prime is 101304314430031. The reversal of 101304314430000 is 34413403101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 538796007 + ... + 538983993.

Almost surely, 2^{101304314430000} is an apocalyptic number.

101304314430000 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 101304314430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188754726352896).

101304314430000 is an abundant number, since it is smaller than the sum of its proper divisors (276205138275792).

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

101304314430000 is a wasteful number, since it uses less digits than its factorization.

101304314430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188123 (or 188102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101304314430000 its reverse (34413403101), we get a palindrome (101338727833101).

The spelling of 101304314430000 in words is "one hundred one trillion, three hundred four billion, three hundred fourteen million, four hundred thirty thousand".