10303103113000 has 128 divisors (see below), whose sum is σ = 25535847261600. Its totient is φ = 3877539840000.

The previous prime is 10303103112943. The next prime is 10303103113019. The reversal of 10303103113000 is 31130130301.

It can be written as a sum of positive squares in 16 ways, for example, as 2034223292644 + 8268879820356 = 1426262^2 + 2875566^2 .

It is a super-2 number, since 2×10303103113000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52414900 + ... + 52611100.

Almost surely, 2^{10303103113000} is an apocalyptic number.

10303103113000 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 10303103113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767923630800).

10303103113000 is an abundant number, since it is smaller than the sum of its proper divisors (15232744148600).

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

10303103113000 is a wasteful number, since it uses less digits than its factorization.

10303103113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199328 (or 199314 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10303103113000 its reverse (31130130301), we get a palindrome (10334233243301).

The spelling of 10303103113000 in words is "ten trillion, three hundred three billion, one hundred three million, one hundred thirteen thousand".