133011120022100 has 36 divisors (see below), whose sum is σ = 288635042479644. Its totient is φ = 53204279892480.

The previous prime is 133011120022063. The next prime is 133011120022169. The reversal of 133011120022100 is 1220021110331.

It can be written as a sum of positive squares in 6 ways, for example, as 48242970752656 + 84768149269444 = 6945716^2 + 9206962^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32546222 + ... + 36404378.

It is an arithmetic number, because the mean of its divisors is an integer number (8017640068879).

Almost surely, 2^{133011120022100} is an apocalyptic number.

133011120022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133011120022100 is an abundant number, since it is smaller than the sum of its proper divisors (155623922457544).

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

133011120022100 is a wasteful number, since it uses less digits than its factorization.

133011120022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202924 (or 4202917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 133011120022100 its reverse (1220021110331), we get a palindrome (134231141132431).

The spelling of 133011120022100 in words is "one hundred thirty-three trillion, eleven billion, one hundred twenty million, twenty-two thousand, one hundred".