133113211302100 has 72 divisors (see below), whose sum is σ = 289717334291000. Its totient is φ = 53086487961600.

The previous prime is 133113211302083. The next prime is 133113211302107. The reversal of 133113211302100 is 1203112311331.

It can be written as a sum of positive squares in 12 ways, for example, as 6745801063824 + 126367410238276 = 2597268^2 + 11241326^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113211302107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303026620 + ... + 303465580.

Almost surely, 2^{133113211302100} is an apocalyptic number.

133113211302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133113211302100 is an abundant number, since it is smaller than the sum of its proper divisors (156604122988900).

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

133113211302100 is a wasteful number, since it uses less digits than its factorization.

133113211302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448013 (or 448006 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 133113211302100 its reverse (1203112311331), we get a palindrome (134316323613431).

The spelling of 133113211302100 in words is "one hundred thirty-three trillion, one hundred thirteen billion, two hundred eleven million, three hundred two thousand, one hundred".