10003112101300 has 36 divisors (see below), whose sum is σ = 22983621102540. Its totient is φ = 3765877496320.

The previous prime is 10003112101271. The next prime is 10003112101319. The reversal of 10003112101300 is 310121130001.

It can be written as a sum of positive squares in 6 ways, for example, as 56228739876 + 9946883361424 = 237126^2 + 3153868^2 .

It is a super-2 number, since 2×10003112101300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2942090095 + ... + 2942093494.

It is an arithmetic number, because the mean of its divisors is an integer number (638433919515).

Almost surely, 2^{10003112101300} is an apocalyptic number.

10003112101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003112101300 is an abundant number, since it is smaller than the sum of its proper divisors (12980509001240).

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

10003112101300 is a wasteful number, since it uses less digits than its factorization.

10003112101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884183620 (or 5884183613 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10003112101300 its reverse (310121130001), we get a palindrome (10313233231301).

The spelling of 10003112101300 in words is "ten trillion, three billion, one hundred twelve million, one hundred one thousand, three hundred".