130101343330200 has 384 divisors, whose sum is σ = 443020145610240. Its totient is φ = 31321843200000.

The previous prime is 130101343330159. The next prime is 130101343330213. The reversal of 130101343330200 is 2033343101031.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3867787782 + ... + 3867821418.

It is an arithmetic number, because the mean of its divisors is an integer number (1153698295860).

Almost surely, 2^{130101343330200} is an apocalyptic number.

130101343330200 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 130101343330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221510072805120).

130101343330200 is an abundant number, since it is smaller than the sum of its proper divisors (312918802280040).

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

130101343330200 is a wasteful number, since it uses less digits than its factorization.

130101343330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37699 (or 37690 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130101343330200 its reverse (2033343101031), we get a palindrome (132134686431231).

The spelling of 130101343330200 in words is "one hundred thirty trillion, one hundred one billion, three hundred forty-three million, three hundred thirty thousand, two hundred".