133213132130100 has 144 divisors (see below), whose sum is σ = 420977521714176. Its totient is φ = 32255042288000.

The previous prime is 133213132130087. The next prime is 133213132130173. The reversal of 133213132130100 is 1031231312331.

133213132130100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133213132130100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21676956 + ... + 27135155.

It is an arithmetic number, because the mean of its divisors is an integer number (2923455011904).

Almost surely, 2^{133213132130100} is an apocalyptic number.

133213132130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133213132130100 is an abundant number, since it is smaller than the sum of its proper divisors (287764389584076).

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

133213132130100 is a wasteful number, since it uses less digits than its factorization.

133213132130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48812966 (or 48812959 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133213132130100 its reverse (1031231312331), we get a palindrome (134244363442431).

The spelling of 133213132130100 in words is "one hundred thirty-three trillion, two hundred thirteen billion, one hundred thirty-two million, one hundred thirty thousand, one hundred".