103030001113013 has 48 divisors (see below), whose sum is σ = 117934352751600. Its totient is φ = 89459550931968.

The previous prime is 103030001113007. The next prime is 103030001113033. The reversal of 103030001113013 is 310311100030301.

It can be written as a sum of positive squares in 8 ways, for example, as 27311149164049 + 75718851948964 = 5226007^2 + 8701658^2 .

It is not a de Polignac number, because 103030001113013 - 2⁶ = 103030001112949 is a prime.

It is a super-2 number, since 2×103030001113013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103030001112982 and 103030001113000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103030001113033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1883071745 + ... + 1883126457.

It is an arithmetic number, because the mean of its divisors is an integer number (2456965682325).

Almost surely, 2^{103030001113013} is an apocalyptic number.

103030001113013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103030001113013 is a deficient number, since it is larger than the sum of its proper divisors (14904351638587).

103030001113013 is a wasteful number, since it uses less digits than its factorization.

103030001113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57606 (or 57587 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 103030001113013 its reverse (310311100030301), we get a palindrome (413341101143314).

The spelling of 103030001113013 in words is "one hundred three trillion, thirty billion, one million, one hundred thirteen thousand, thirteen".