1331022104100 has 216 divisors, whose sum is σ = 4536563932992. Its totient is φ = 324454982400.

The previous prime is 1331022104077. The next prime is 1331022104197. The reversal of 1331022104100 is 14012201331.

1331022104100 is a `hidden beast` number, since 1 + 3 + 31 + 0 + 221 + 0 + 410 + 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 71 ways as a sum of consecutive naturals, for example, 652855 + ... + 1757345.

Almost surely, 2^{1331022104100} is an apocalyptic number.

1331022104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331022104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268281966496).

1331022104100 is an abundant number, since it is smaller than the sum of its proper divisors (3205541828892).

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

1331022104100 is a wasteful number, since it uses less digits than its factorization.

1331022104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104627 (or 1104617 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1331022104100 its reverse (14012201331), we get a palindrome (1345034305431).

The spelling of 1331022104100 in words is "one trillion, three hundred thirty-one billion, twenty-two million, one hundred four thousand, one hundred".