100113231313 has 2 divisors, whose sum is σ = 100113231314. Its totient is φ = 100113231312.

The previous prime is 100113231299. The next prime is 100113231349. The reversal of 100113231313 is 313132311001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87091682769 + 13021548544 = 295113^2 + 114112^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113231313 - 2⁹ = 100113230801 is a prime.

It is not a weakly prime, because it can be changed into another prime (100113201313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056615656 + 50056615657.

It is an arithmetic number, because the mean of its divisors is an integer number (50056615657).

Almost surely, 2^100113231313 is an apocalyptic number.

It is an amenable number.

100113231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113231313 is an equidigital number, since it uses as much as digits as its factorization.

100113231313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100113231313 its reverse (313132311001), we get a palindrome (413245542314).

The spelling of 100113231313 in words is "one hundred billion, one hundred thirteen million, two hundred thirty-one thousand, three hundred thirteen".