1331223200100 has 108 divisors (see below), whose sum is σ = 4172863325904. Its totient is φ = 354974293440.

The previous prime is 1331223200077. The next prime is 1331223200113. The reversal of 1331223200100 is 10023221331.

1331223200100 is a `hidden beast` number, since 1 + 331 + 2 + 2 + 320 + 0 + 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31178967 + ... + 31221633.

It is an arithmetic number, because the mean of its divisors is an integer number (38637623388).

Almost surely, 2^{1331223200100} is an apocalyptic number.

1331223200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331223200100 is an abundant number, since it is smaller than the sum of its proper divisors (2841640125804).

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

1331223200100 is a wasteful number, since it uses less digits than its factorization.

1331223200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77354 (or 77344 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1331223200100 its reverse (10023221331), we get a palindrome (1341246421431).

The spelling of 1331223200100 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-three million, two hundred thousand, one hundred".