2102020103313 has 42 divisors (see below), whose sum is σ = 3412666972566. Its totient is φ = 1293550756992.

The previous prime is 2102020103303. The next prime is 2102020103333. The reversal of 2102020103313 is 3133010202012.

2102020103313 is a `hidden beast` number, since 210 + 20 + 20 + 103 + 313 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 251419007889 + 1850601095424 = 501417^2 + 1360368^2 .

It is not a de Polignac number, because 2102020103313 - 2¹³ = 2102020095121 is a prime.

It is a super-3 number, since 3×2102020103313³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102020103303) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8407656 + ... + 8654057.

Almost surely, 2^{2102020103313} is an apocalyptic number.

It is an amenable number.

2102020103313 is a deficient number, since it is larger than the sum of its proper divisors (1310646869253).

2102020103313 is an equidigital number, since it uses as much as digits as its factorization.

2102020103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17061757 (or 17061729 counting only the distinct ones).

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

Adding to 2102020103313 its reverse (3133010202012), we get a palindrome (5235030305325).

The spelling of 2102020103313 in words is "two trillion, one hundred two billion, twenty million, one hundred three thousand, three hundred thirteen".