10000103001300 has 108 divisors (see below), whose sum is σ = 31417158283420. Its totient is φ = 2660535383040.

The previous prime is 10000103001199. The next prime is 10000103001313. The reversal of 10000103001300 is 310030100001.

It can be written as a sum of positive squares in 6 ways, for example, as 1352480613444 + 8647622387856 = 1162962^2 + 2940684^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12440815 + ... + 13220214.

Almost surely, 2^{10000103001300} is an apocalyptic number.

10000103001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000103001300 is an abundant number, since it is smaller than the sum of its proper divisors (21417055282120).

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

10000103001300 is a wasteful number, since it uses less digits than its factorization.

10000103001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25661482 (or 25661472 counting only the distinct ones).

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

Adding to 10000103001300 its reverse (310030100001), we get a palindrome (10310133101301).

The spelling of 10000103001300 in words is "ten trillion, one hundred three million, one thousand, three hundred".