201321131133100 has 108 divisors (see below), whose sum is σ = 483251048498512. Its totient is φ = 72741392380800.

The previous prime is 201321131133061. The next prime is 201321131133127. The reversal of 201321131133100 is 1331131123102.

It is a super-2 number, since 2×201321131133100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 51087912 + ... + 54887311.

Almost surely, 2^{201321131133100} is an apocalyptic number.

201321131133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201321131133100 is an abundant number, since it is smaller than the sum of its proper divisors (281929917365412).

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

201321131133100 is a wasteful number, since it uses less digits than its factorization.

201321131133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105975416 (or 105975398 counting only the distinct ones).

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

Adding to 201321131133100 its reverse (1331131123102), we get a palindrome (202652262256202).

The spelling of 201321131133100 in words is "two hundred one trillion, three hundred twenty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred".