100202132313 has 12 divisors (see below), whose sum is σ = 144853435428. Its totient is φ = 66747411360.

The previous prime is 100202132311. The next prime is 100202132333. The reversal of 100202132313 is 313231202001.

It can be written as a sum of positive squares in 2 ways, for example, as 55341621504 + 44860510809 = 235248^2 + 211803^2 .

It is not a de Polignac number, because 100202132313 - 2¹ = 100202132311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100202132311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4489098 + ... + 4511363.

It is an arithmetic number, because the mean of its divisors is an integer number (12071119619).

Almost surely, 2^100202132313 is an apocalyptic number.

It is an amenable number.

100202132313 is a deficient number, since it is larger than the sum of its proper divisors (44651303115).

100202132313 is a wasteful number, since it uses less digits than its factorization.

100202132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001704 (or 9001701 counting only the distinct ones).

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

Adding to 100202132313 its reverse (313231202001), we get a palindrome (413433334314).

The spelling of 100202132313 in words is "one hundred billion, two hundred two million, one hundred thirty-two thousand, three hundred thirteen".