1331003120100 has 144 divisors (see below), whose sum is σ = 3955853975808. Its totient is φ = 345277071360.

The previous prime is 1331003120023. The next prime is 1331003120107. The reversal of 1331003120100 is 10213001331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1331003120100.

It is not an unprimeable number, because it can be changed into a prime (1331003120107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99971044 + ... + 99984356.

Almost surely, 2^{1331003120100} is an apocalyptic number.

1331003120100 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 1331003120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977926987904).

1331003120100 is an abundant number, since it is smaller than the sum of its proper divisors (2624850855708).

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

1331003120100 is a wasteful number, since it uses less digits than its factorization.

1331003120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22374 (or 22367 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1331003120100 its reverse (10213001331), we get a palindrome (1341216121431).

The spelling of 1331003120100 in words is "one trillion, three hundred thirty-one billion, three million, one hundred twenty thousand, one hundred".