10202200103313 has 12 divisors (see below), whose sum is σ = 14738751958788. Its totient is φ = 6800432567040.

The previous prime is 10202200103279. The next prime is 10202200103411. The reversal of 10202200103313 is 31330100220201.

10202200103313 is a `hidden beast` number, since 10 + 20 + 220 + 0 + 103 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9467085920769 + 735114182544 = 3076863^2 + 857388^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10202200103313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202200103113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86118228 + ... + 86236613.

It is an arithmetic number, because the mean of its divisors is an integer number (1228229329899).

Almost surely, 2^{10202200103313} is an apocalyptic number.

It is an amenable number.

10202200103313 is a deficient number, since it is larger than the sum of its proper divisors (4536551855475).

10202200103313 is a wasteful number, since it uses less digits than its factorization.

10202200103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172361424 (or 172361421 counting only the distinct ones).

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

Adding to 10202200103313 its reverse (31330100220201), we get a palindrome (41532300323514).

The spelling of 10202200103313 in words is "ten trillion, two hundred two billion, two hundred million, one hundred three thousand, three hundred thirteen".