10202010313 has 16 divisors (see below), whose sum is σ = 11187253440. Its totient is φ = 9226483200.

The previous prime is 10202010293. The next prime is 10202010349. The reversal of 10202010313 is 31301020201.

It is not a de Polignac number, because 10202010313 - 2¹³ = 10202002121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202010293 and 10202010302.

It is not an unprimeable number, because it can be changed into a prime (10202010383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4290781 + ... + 4293157.

It is an arithmetic number, because the mean of its divisors is an integer number (699203340).

Almost surely, 2^10202010313 is an apocalyptic number.

It is an amenable number.

10202010313 is a deficient number, since it is larger than the sum of its proper divisors (985243127).

10202010313 is a wasteful number, since it uses less digits than its factorization.

10202010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10202010313 its reverse (31301020201), we get a palindrome (41503030514).

The spelling of 10202010313 in words is "ten billion, two hundred two million, ten thousand, three hundred thirteen".