100133520004 has 96 divisors (see below), whose sum is σ = 203767683840. Its totient is φ = 42173471232.

The previous prime is 100133520001. The next prime is 100133520007. The reversal of 100133520004 is 400025331001.

It is an interprime number because it is at equal distance from previous prime (100133520001) and next prime (100133520007).

It is a super-3 number, since 3×100133520004³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100133520001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315878454 + ... + 315878770.

It is an arithmetic number, because the mean of its divisors is an integer number (2122580040).

Almost surely, 2^100133520004 is an apocalyptic number.

100133520004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100133520004 is an abundant number, since it is smaller than the sum of its proper divisors (103634163836).

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

100133520004 is a wasteful number, since it uses less digits than its factorization.

100133520004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 100133520004 its reverse (400025331001), we get a palindrome (500158851005).

The spelling of 100133520004 in words is "one hundred billion, one hundred thirty-three million, five hundred twenty thousand, four".