10202011313 has 8 divisors (see below), whose sum is σ = 11095562856. Its totient is φ = 9324000000.

The previous prime is 10202011301. The next prime is 10202011333. The reversal of 10202011313 is 31311020201.

It can be written as a sum of positive squares in 4 ways, for example, as 2268902689 + 7933108624 = 47633^2 + 89068^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10202011313 - 2²⁴ = 10185234097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202011333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3883688 + ... + 3886313.

It is an arithmetic number, because the mean of its divisors is an integer number (1386945357).

Almost surely, 2^10202011313 is an apocalyptic number.

10202011313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10202011313 is a deficient number, since it is larger than the sum of its proper divisors (893551543).

10202011313 is a wasteful number, since it uses less digits than its factorization.

10202011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770115.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10202011313 its reverse (31311020201), we get a palindrome (41513031514).

The spelling of 10202011313 in words is "ten billion, two hundred two million, eleven thousand, three hundred thirteen".