133013311022100 has 72 divisors (see below), whose sum is σ = 394238476997568. Its totient is φ = 34605089043200.

The previous prime is 133013311022083. The next prime is 133013311022107. The reversal of 133013311022100 is 1220113310331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013311022107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5407032864 + ... + 5407057463.

It is an arithmetic number, because the mean of its divisors is an integer number (5475534402744).

Almost surely, 2^{133013311022100} is an apocalyptic number.

133013311022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133013311022100 is an abundant number, since it is smaller than the sum of its proper divisors (261225165975468).

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

133013311022100 is a wasteful number, since it uses less digits than its factorization.

133013311022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814090385 (or 10814090378 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133013311022100 its reverse (1220113310331), we get a palindrome (134233424332431).

The spelling of 133013311022100 in words is "one hundred thirty-three trillion, thirteen billion, three hundred eleven million, twenty-two thousand, one hundred".