100330112313 has 24 divisors (see below), whose sum is σ = 153156538080. Its totient is φ = 63113904000.

The previous prime is 100330112299. The next prime is 100330112329. The reversal of 100330112313 is 313211033001.

It is a happy number.

100330112313 is a `hidden beast` number, since 10 + 0 + 330 + 1 + 12 + 313 = 666.

It is not a de Polignac number, because 100330112313 - 2¹⁶ = 100330046777 is a prime.

It is a super-2 number, since 2×100330112313² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100330152313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125856 + ... + 1211697.

It is an arithmetic number, because the mean of its divisors is an integer number (6381522420).

Almost surely, 2^100330112313 is an apocalyptic number.

It is an amenable number.

100330112313 is a deficient number, since it is larger than the sum of its proper divisors (52826425767).

100330112313 is a wasteful number, since it uses less digits than its factorization.

100330112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337829 (or 2337826 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100330112313 its reverse (313211033001), we get a palindrome (413541145314).

The spelling of 100330112313 in words is "one hundred billion, three hundred thirty million, one hundred twelve thousand, three hundred thirteen".