133033313413100 has 36 divisors (see below), whose sum is σ = 305663601293064. Its totient is φ = 50083129754880.

The previous prime is 133033313413097. The next prime is 133033313413103. The reversal of 133033313413100 is 1314313330331.

It is an interprime number because it is at equal distance from previous prime (133033313413097) and next prime (133033313413103).

It is a super-2 number, since 2×133033313413100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133033313413103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39127443422 + ... + 39127446821.

It is an arithmetic number, because the mean of its divisors is an integer number (8490655591474).

Almost surely, 2^{133033313413100} is an apocalyptic number.

133033313413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133033313413100 is an abundant number, since it is smaller than the sum of its proper divisors (172630287879964).

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

133033313413100 is a wasteful number, since it uses less digits than its factorization.

133033313413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78254890274 (or 78254890267 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 133033313413100 its reverse (1314313330331), we get a palindrome (134347626743431).

The spelling of 133033313413100 in words is "one hundred thirty-three trillion, thirty-three billion, three hundred thirteen million, four hundred thirteen thousand, one hundred".