100313010321 has 64 divisors (see below), whose sum is σ = 144506880000. Its totient is φ = 61676246016.

The previous prime is 100313010269. The next prime is 100313010353. The reversal of 100313010321 is 123010313001.

It is not a de Polignac number, because 100313010321 - 2¹¹ = 100313008273 is a prime.

It is a super-2 number, since 2×100313010321² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100313010321.

It is not an unprimeable number, because it can be changed into a prime (100313010521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287429655 + ... + 287430003.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920000).

Almost surely, 2^100313010321 is an apocalyptic number.

It is an amenable number.

100313010321 is a deficient number, since it is larger than the sum of its proper divisors (44193869679).

100313010321 is a wasteful number, since it uses less digits than its factorization.

100313010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918.

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

Adding to 100313010321 its reverse (123010313001), we get a palindrome (223323323322).

The spelling of 100313010321 in words is "one hundred billion, three hundred thirteen million, ten thousand, three hundred twenty-one".