10213110020313 has 24 divisors (see below), whose sum is σ = 15673427632200. Its totient is φ = 6396281385984.

The previous prime is 10213110020297. The next prime is 10213110020329. The reversal of 10213110020313 is 31302001131201.

10213110020313 is a `hidden beast` number, since 1 + 0 + 21 + 311 + 0 + 0 + 20 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (10213110020297) and next prime (10213110020329).

It can be written as a sum of positive squares in 4 ways, for example, as 5996876117904 + 4216233902409 = 2448852^2 + 2053347^2 .

It is not a de Polignac number, because 10213110020313 - 2⁴ = 10213110020297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10213110020383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528783448 + ... + 528802761.

It is an arithmetic number, because the mean of its divisors is an integer number (653059484675).

Almost surely, 2^{10213110020313} is an apocalyptic number.

It is an amenable number.

10213110020313 is a deficient number, since it is larger than the sum of its proper divisors (5460317611887).

10213110020313 is a wasteful number, since it uses less digits than its factorization.

10213110020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057586281 (or 1057586278 counting only the distinct ones).

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

Adding to 10213110020313 its reverse (31302001131201), we get a palindrome (41515111151514).

The spelling of 10213110020313 in words is "ten trillion, two hundred thirteen billion, one hundred ten million, twenty thousand, three hundred thirteen".