103002110013213 has 12 divisors (see below), whose sum is σ = 148782735772060. Its totient is φ = 68667191712576.

The previous prime is 103002110013163. The next prime is 103002110013217. The reversal of 103002110013213 is 312310011200301.

103002110013213 is a `hidden beast` number, since 10 + 300 + 21 + 10 + 0 + 1 + 321 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93318729866244 + 9683380146969 = 9660162^2 + 3111813^2 .

It is not a de Polignac number, because 103002110013213 - 2¹⁸ = 103002109751069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002110013217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72728806 + ... + 74131527.

Almost surely, 2^{103002110013213} is an apocalyptic number.

It is an amenable number.

103002110013213 is a deficient number, since it is larger than the sum of its proper divisors (45780625758847).

103002110013213 is a wasteful number, since it uses less digits than its factorization.

103002110013213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146938268 (or 146938265 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103002110013213 its reverse (312310011200301), we get a palindrome (415312121213514).

The spelling of 103002110013213 in words is "one hundred three trillion, two billion, one hundred ten million, thirteen thousand, two hundred thirteen".