10130193000 has 384 divisors, whose sum is σ = 36412740000. Its totient is φ = 2535321600.

The previous prime is 10130192999. The next prime is 10130193061. The reversal of 10130193000 is 39103101.

It can be written as a sum of positive squares in 16 ways, for example, as 692847684 + 9437345316 = 26322^2 + 97146^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 9656476 + ... + 9657524.

Almost surely, 2^10130193000 is an apocalyptic number.

10130193000 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 10130193000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206370000).

10130193000 is an abundant number, since it is smaller than the sum of its proper divisors (26282547000).

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

10130193000 is a wasteful number, since it uses less digits than its factorization.

10130193000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10130193000 its reverse (39103101), we get a palindrome (10169296101).

The spelling of 10130193000 in words is "ten billion, one hundred thirty million, one hundred ninety-three thousand".