101304201431000 has 256 divisors, whose sum is σ = 252189975398400. Its totient is φ = 38003744064000.

The previous prime is 101304201430981. The next prime is 101304201431033. The reversal of 101304201431000 is 134102403101.

It is a super-2 number, since 2×101304201431000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924774685 + ... + 1924827315.

It is an arithmetic number, because the mean of its divisors is an integer number (985117091400).

Almost surely, 2^{101304201431000} is an apocalyptic number.

101304201431000 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 101304201431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126094987699200).

101304201431000 is an abundant number, since it is smaller than the sum of its proper divisors (150885773967400).

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

101304201431000 is a wasteful number, since it uses less digits than its factorization.

101304201431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54307 (or 54293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101304201431000 its reverse (134102403101), we get a palindrome (101438303834101).

The spelling of 101304201431000 in words is "one hundred one trillion, three hundred four billion, two hundred one million, four hundred thirty-one thousand".