100340310124314 has 240 divisors, whose sum is σ = 258353434785600. Its totient is φ = 29031050011392.

The previous prime is 100340310124303. The next prime is 100340310124319. The reversal of 100340310124314 is 413421013043001.

100340310124314 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 403 + 1 + 0 + 1 + 243 + 14 = 666.

It is a super-2 number, since 2×100340310124314² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100340310124319) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35801542 + ... + 38502350.

It is an arithmetic number, because the mean of its divisors is an integer number (1076472644940).

Almost surely, 2^{100340310124314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100340310124314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129176717392800).

100340310124314 is an abundant number, since it is smaller than the sum of its proper divisors (158013124661286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100340310124314 is a wasteful number, since it uses less digits than its factorization.

100340310124314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700931 (or 2700909 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100340310124314 its reverse (413421013043001), we get a palindrome (513761323167315).

The spelling of 100340310124314 in words is "one hundred trillion, three hundred forty billion, three hundred ten million, one hundred twenty-four thousand, three hundred fourteen".