10100001313 has 8 divisors (see below), whose sum is σ = 10212419520. Its totient is φ = 9987826800.

The previous prime is 10100001253. The next prime is 10100001347. The reversal of 10100001313 is 31310000101.

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 10100001313 - 2²⁵ = 10066446881 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100001313.

It is not an unprimeable number, because it can be changed into a prime (10100008313) 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, 23068 + ... + 143986.

It is an arithmetic number, because the mean of its divisors is an integer number (1276552440).

Almost surely, 2^10100001313 is an apocalyptic number.

It is an amenable number.

10100001313 is a deficient number, since it is larger than the sum of its proper divisors (112418207).

10100001313 is a wasteful number, since it uses less digits than its factorization.

10100001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121847.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10100001313 its reverse (31310000101), we get a palindrome (41410001414).

The spelling of 10100001313 in words is "ten billion, one hundred million, one thousand, three hundred thirteen".