20131132121100 has 432 divisors, whose sum is σ = 84721568305920. Its totient is φ = 3861315878400.

The previous prime is 20131132121053. The next prime is 20131132121117. The reversal of 20131132121100 is 112123113102.

20131132121100 is a `hidden beast` number, since 2 + 0 + 1 + 311 + 321 + 21 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10271890 + ... + 12073689.

Almost surely, 2^{20131132121100} is an apocalyptic number.

20131132121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131132121100 is an abundant number, since it is smaller than the sum of its proper divisors (64590436184820).

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

20131132121100 is a wasteful number, since it uses less digits than its factorization.

20131132121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345630 (or 22345620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20131132121100 its reverse (112123113102), we get a palindrome (20243255234202).

It can be divided in two parts, 20131 and 132121100, that added together give a palindrome (132141231).

The spelling of 20131132121100 in words is "twenty trillion, one hundred thirty-one billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred".