100314401334 has 32 divisors (see below), whose sum is σ = 229313193216. Its totient is φ = 28658365920.

The previous prime is 100314401311. The next prime is 100314401387. The reversal of 100314401334 is 433104413001.

It is a super-2 number, since 2×100314401334² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319689 + ... + 550299.

It is an arithmetic number, because the mean of its divisors is an integer number (7166037288).

Almost surely, 2^100314401334 is an apocalyptic number.

100314401334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100314401334 is an abundant number, since it is smaller than the sum of its proper divisors (128998791882).

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

100314401334 is a wasteful number, since it uses less digits than its factorization.

100314401334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240980.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100314401334 its reverse (433104413001), we get a palindrome (533418814335).

The spelling of 100314401334 in words is "one hundred billion, three hundred fourteen million, four hundred one thousand, three hundred thirty-four".