1331040100 has 72 divisors (see below), whose sum is σ = 3129674688. Its totient is φ = 488438400.

The previous prime is 1331040097. The next prime is 1331040119. The reversal of 1331040100 is 10401331.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214035 + ... + 220165.

It is an arithmetic number, because the mean of its divisors is an integer number (43467704).

Almost surely, 2^1331040100 is an apocalyptic number.

1331040100 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 1331040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564837344).

1331040100 is an abundant number, since it is smaller than the sum of its proper divisors (1798634588).

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

1331040100 is a wasteful number, since it uses less digits than its factorization.

1331040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1331040100 is about 36483.4222627209. The cubic root of 1331040100 is about 1100.0110467210.

Adding to 1331040100 its reverse (10401331), we get a palindrome (1341441431).

The spelling of 1331040100 in words is "one billion, three hundred thirty-one million, forty thousand, one hundred".