100130301000 has 288 divisors, whose sum is σ = 350539698600. Its totient is φ = 25778726400.

The previous prime is 100130300999. The next prime is 100130301001. The reversal of 100130301000 is 103031001.

It is an interprime number because it is at equal distance from previous prime (100130300999) and next prime (100130301001).

It can be written as a sum of positive squares in 12 ways, for example, as 3455323524 + 96674977476 = 58782^2 + 310926^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100130301001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7562386 + ... + 7575614.

Almost surely, 2^100130301000 is an apocalyptic number.

100130301000 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 100130301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175269849300).

100130301000 is an abundant number, since it is smaller than the sum of its proper divisors (250409397600).

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

100130301000 is a wasteful number, since it uses less digits than its factorization.

100130301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13314 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100130301000 its reverse (103031001), we get a palindrome (100233332001).

The spelling of 100130301000 in words is "one hundred billion, one hundred thirty million, three hundred one thousand".