100312334320 has 320 divisors, whose sum is σ = 270754099200. Its totient is φ = 34207416320.

The previous prime is 100312334293. The next prime is 100312334323. The reversal of 100312334320 is 23433213001.

It is a super-6 number, since 6×100312334320⁶ (a number of 67 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100312334291 and 100312334300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312334323) 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, 419716761 + ... + 419716999.

It is an arithmetic number, because the mean of its divisors is an integer number (846106560).

Almost surely, 2^100312334320 is an apocalyptic number.

100312334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100312334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135377049600).

100312334320 is an abundant number, since it is smaller than the sum of its proper divisors (170441764880).

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

100312334320 is a wasteful number, since it uses less digits than its factorization.

100312334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 100312334320 its reverse (23433213001), we get a palindrome (123745547321).

The spelling of 100312334320 in words is "one hundred billion, three hundred twelve million, three hundred thirty-four thousand, three hundred twenty".