100133002001300 has 36 divisors (see below), whose sum is σ = 217289048819136. Its totient is φ = 40053120712800.

The previous prime is 100133002001261. The next prime is 100133002001437. The reversal of 100133002001300 is 3100200331001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96653045 + ... + 97683555.

Almost surely, 2^{100133002001300} is an apocalyptic number.

100133002001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133002001300 is an abundant number, since it is smaller than the sum of its proper divisors (117156046817836).

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

100133002001300 is a wasteful number, since it uses less digits than its factorization.

100133002001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002208 (or 2002201 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100133002001300 its reverse (3100200331001), we get a palindrome (103233202332301).

The spelling of 100133002001300 in words is "one hundred trillion, one hundred thirty-three billion, two million, one thousand, three hundred".