100312100313 has 32 divisors (see below), whose sum is σ = 144272016000. Its totient is φ = 61788672000.

The previous prime is 100312100303. The next prime is 100312100323. The reversal of 100312100313 is 313001213001.

It is an interprime number because it is at equal distance from previous prime (100312100303) and next prime (100312100323).

It is not a de Polignac number, because 100312100313 - 2¹⁸ = 100311838169 is a prime.

It is a super-3 number, since 3×100312100313³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100312100292 and 100312100301.

It is not an unprimeable number, because it can be changed into a prime (100312100303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9457213 + ... + 9467813.

It is an arithmetic number, because the mean of its divisors is an integer number (4508500500).

Almost surely, 2^100312100313 is an apocalyptic number.

It is an amenable number.

100312100313 is a deficient number, since it is larger than the sum of its proper divisors (43959915687).

100312100313 is a wasteful number, since it uses less digits than its factorization.

100312100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14713.

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

Adding to 100312100313 its reverse (313001213001), we get a palindrome (413313313314).

The spelling of 100312100313 in words is "one hundred billion, three hundred twelve million, one hundred thousand, three hundred thirteen".