1010130303200 has 288 divisors, whose sum is σ = 2812409994240. Its totient is φ = 351887155200.

The previous prime is 1010130303191. The next prime is 1010130303233. The reversal of 1010130303200 is 23030310101.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11065745 + ... + 11156655.

It is an arithmetic number, because the mean of its divisors is an integer number (9765312480).

Almost surely, 2^{1010130303200} is an apocalyptic number.

1010130303200 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 1010130303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406204997120).

1010130303200 is an abundant number, since it is smaller than the sum of its proper divisors (1802279691040).

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

1010130303200 is a wasteful number, since it uses less digits than its factorization.

1010130303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91010 (or 90997 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1010130303200 its reverse (23030310101), we get a palindrome (1033160613301).

The spelling of 1010130303200 in words is "one trillion, ten billion, one hundred thirty million, three hundred three thousand, two hundred".