133301321323100 has 72 divisors (see below), whose sum is σ = 330995915218080. Its totient is φ = 45646816389120.

The previous prime is 133301321323099. The next prime is 133301321323189. The reversal of 133301321323100 is 1323123103331.

It is a super-2 number, since 2×133301321323100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133301321323100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117128669 + ... + 118261268.

It is an arithmetic number, because the mean of its divisors is an integer number (4597165489140).

Almost surely, 2^{133301321323100} is an apocalyptic number.

133301321323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133301321323100 is an abundant number, since it is smaller than the sum of its proper divisors (197694593894980).

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

133301321323100 is a wasteful number, since it uses less digits than its factorization.

133301321323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235390767 (or 235390760 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 133301321323100 its reverse (1323123103331), we get a palindrome (134624444426431).

The spelling of 133301321323100 in words is "one hundred thirty-three trillion, three hundred one billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred".