100103001300000 has 216 divisors, whose sum is σ = 355812117199812. Its totient is φ = 26694133440000.

The previous prime is 100103001299927. The next prime is 100103001300007. The reversal of 100103001300000 is 3100301001.

It can be written as a sum of positive squares in 6 ways, for example, as 19359190408464 + 80743810891536 = 4399908^2 + 8985756^2 .

It is a super-2 number, since 2×100103001300000² (a number of 29 digits) contains 22 as substring.

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 (100103001300007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54712779 + ... + 56512778.

Almost surely, 2^{100103001300000} is an apocalyptic number.

100103001300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103001300000 is an abundant number, since it is smaller than the sum of its proper divisors (255709115899812).

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

100103001300000 is an equidigital number, since it uses as much as digits as its factorization.

100103001300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111225598 (or 111225567 counting only the distinct ones).

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

Adding to 100103001300000 its reverse (3100301001), we get a palindrome (100106101601001).

The spelling of 100103001300000 in words is "one hundred trillion, one hundred three billion, one million, three hundred thousand".