10100321313 has 8 divisors (see below), whose sum is σ = 13473840000. Its totient is φ = 6730175088.

The previous prime is 10100321249. The next prime is 10100321317. The reversal of 10100321313 is 31312300101.

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

It is not a de Polignac number, because 10100321313 - 2⁶ = 10100321249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100321292 and 10100321301.

It is not an unprimeable number, because it can be changed into a prime (10100321317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836118 + ... + 848111.

It is an arithmetic number, because the mean of its divisors is an integer number (1684230000).

Almost surely, 2^10100321313 is an apocalyptic number.

It is an amenable number.

10100321313 is a deficient number, since it is larger than the sum of its proper divisors (3373518687).

10100321313 is a wasteful number, since it uses less digits than its factorization.

10100321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686231.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10100321313 its reverse (31312300101), we get a palindrome (41412621414).

The spelling of 10100321313 in words is "ten billion, one hundred million, three hundred twenty-one thousand, three hundred thirteen".