100000001313 has 12 divisors (see below), whose sum is σ = 144450484308. Its totient is φ = 66663880800.

The previous prime is 100000001291. The next prime is 100000001317. The reversal of 100000001313 is 313100000001.

It can be written as a sum of positive squares in 2 ways, for example, as 75019566609 + 24980434704 = 273897^2 + 158052^2 .

It is not a de Polignac number, because 100000001313 - 2⁶ = 100000001249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100000001295 and 100000001304.

It is not an unprimeable number, because it can be changed into a prime (100000001317) 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, 8131 + ... + 447287.

It is an arithmetic number, because the mean of its divisors is an integer number (12037540359).

Almost surely, 2^100000001313 is an apocalyptic number.

It is an amenable number.

100000001313 is a deficient number, since it is larger than the sum of its proper divisors (44450482995).

100000001313 is a wasteful number, since it uses less digits than its factorization.

100000001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464464 (or 464461 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100000001313 its reverse (313100000001), we get a palindrome (413100001314).

It can be divided in two parts, 100000001 and 313, that multiplied together give a palindrome (31300000313).

The spelling of 100000001313 in words is "one hundred billion, one thousand, three hundred thirteen".