1003300032113 has 2 divisors, whose sum is σ = 1003300032114. Its totient is φ = 1003300032112.

The previous prime is 1003300032079. The next prime is 1003300032143. The reversal of 1003300032113 is 3112300033001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 773525527009 + 229774505104 = 879503^2 + 479348^2 .

It is an emirp because it is prime and its reverse (3112300033001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1003300032113 - 2¹⁰ = 1003300031089 is a prime.

It is a super-2 number, since 2×1003300032113² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003300032091 and 1003300032100.

It is not a weakly prime, because it can be changed into another prime (1003300032143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501650016056 + 501650016057.

It is an arithmetic number, because the mean of its divisors is an integer number (501650016057).

Almost surely, 2^{1003300032113} is an apocalyptic number.

It is an amenable number.

1003300032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003300032113 is an equidigital number, since it uses as much as digits as its factorization.

1003300032113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1003300032113 its reverse (3112300033001), we get a palindrome (4115600065114).

The spelling of 1003300032113 in words is "one trillion, three billion, three hundred million, thirty-two thousand, one hundred thirteen".