103202312013 has 12 divisors (see below), whose sum is σ = 149095568700. Its totient is φ = 68789743296.

The previous prime is 103202311987. The next prime is 103202312021. The reversal of 103202312013 is 310213202301.

It can be written as a sum of positive squares in 2 ways, for example, as 40971022569 + 62231289444 = 202413^2 + 249462^2 .

It is not a de Polignac number, because 103202312013 - 2²⁰ = 103201263437 is a prime.

It is a super-2 number, since 2×103202312013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103202312113) 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, 927606 + ... + 1032887.

It is an arithmetic number, because the mean of its divisors is an integer number (12424630725).

Almost surely, 2^103202312013 is an apocalyptic number.

It is an amenable number.

103202312013 is a deficient number, since it is larger than the sum of its proper divisors (45893256687).

103202312013 is a wasteful number, since it uses less digits than its factorization.

103202312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966348 (or 1966345 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103202312013 its reverse (310213202301), we get a palindrome (413415514314).

The spelling of 103202312013 in words is "one hundred three billion, two hundred two million, three hundred twelve thousand, thirteen".