100123001313132 has 96 divisors (see below), whose sum is σ = 267154536151552. Its totient is φ = 28589446803456.

The previous prime is 100123001313073. The next prime is 100123001313133. The reversal of 100123001313132 is 231313100321001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100123001313099 and 100123001313108.

It is not an unprimeable number, because it can be changed into a prime (100123001313133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1625263443 + ... + 1625325045.

Almost surely, 2^{100123001313132} is an apocalyptic number.

100123001313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100123001313132 is an abundant number, since it is smaller than the sum of its proper divisors (167031534838420).

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

100123001313132 is a wasteful number, since it uses less digits than its factorization.

100123001313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72887 (or 72885 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 100123001313132 its reverse (231313100321001), we get a palindrome (331436101634133).

The spelling of 100123001313132 in words is "one hundred trillion, one hundred twenty-three billion, one million, three hundred thirteen thousand, one hundred thirty-two".