100133001033320 has 16 divisors (see below), whose sum is σ = 225299252325060. Its totient is φ = 40053200413312.

The previous prime is 100133001033277. The next prime is 100133001033323. The reversal of 100133001033320 is 23330100331001.

It can be written as a sum of positive squares in 2 ways, for example, as 98716981952164 + 1416019081156 = 9935642^2 + 1189966^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100133001033292 and 100133001033301.

It is not an unprimeable number, because it can be changed into a prime (100133001033323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251662512877 + ... + 1251662512956.

Almost surely, 2^{100133001033320} is an apocalyptic number.

100133001033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133001033320 is an abundant number, since it is smaller than the sum of its proper divisors (125166251291740).

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

100133001033320 is a wasteful number, since it uses less digits than its factorization.

100133001033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503325025844 (or 2503325025840 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100133001033320 its reverse (23330100331001), we get a palindrome (123463101364321).

The spelling of 100133001033320 in words is "one hundred trillion, one hundred thirty-three billion, one million, thirty-three thousand, three hundred twenty".