100123133310 has 96 divisors (see below), whose sum is σ = 267487721280. Its totient is φ = 25965080064.

The previous prime is 100123133287. The next prime is 100123133311. The reversal of 100123133310 is 13331321001.

It is a happy number.

100123133310 is a `hidden beast` number, since 10 + 0 + 12 + 313 + 331 + 0 = 666.

It is a super-2 number, since 2×100123133310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123133311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8062386 + ... + 8074794.

It is an arithmetic number, because the mean of its divisors is an integer number (2786330430).

Almost surely, 2^100123133310 is an apocalyptic number.

100123133310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100123133310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133743860640).

100123133310 is an abundant number, since it is smaller than the sum of its proper divisors (167364587970).

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

100123133310 is a wasteful number, since it uses less digits than its factorization.

100123133310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14882 (or 14879 counting only the distinct ones).

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

Adding to 100123133310 its reverse (13331321001), we get a palindrome (113454454311).

The spelling of 100123133310 in words is "one hundred billion, one hundred twenty-three million, one hundred thirty-three thousand, three hundred ten".