1331313002100 has 216 divisors, whose sum is σ = 4318043653560. Its totient is φ = 342677744640.

The previous prime is 1331313002083. The next prime is 1331313002177. The reversal of 1331313002100 is 12003131331.

It is a happy number.

1331313002100 is a `hidden beast` number, since 1 + 331 + 31 + 300 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15369056784 + 1315943945316 = 123972^2 + 1147146^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160067142 + ... + 160075458.

Almost surely, 2^{1331313002100} is an apocalyptic number.

1331313002100 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 1331313002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159021826780).

1331313002100 is an abundant number, since it is smaller than the sum of its proper divisors (2986730651460).

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

1331313002100 is a wasteful number, since it uses less digits than its factorization.

1331313002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14499 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1331313002100 its reverse (12003131331), we get a palindrome (1343316133431).

The spelling of 1331313002100 in words is "one trillion, three hundred thirty-one billion, three hundred thirteen million, two thousand, one hundred".