1331213100 has 144 divisors (see below), whose sum is σ = 4553875200. Its totient is φ = 293771520.

The previous prime is 1331213089. The next prime is 1331213153. The reversal of 1331213100 is 13121331.

It is a super-2 number, since 2×1331213100² = 3544256635223220000, which contains 22 as substring.

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 1331213100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49971 + ... + 71829.

Almost surely, 2^1331213100 is an apocalyptic number.

1331213100 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 1331213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276937600).

1331213100 is an abundant number, since it is smaller than the sum of its proper divisors (3222662100).

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

1331213100 is a wasteful number, since it uses less digits than its factorization.

1331213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21912 (or 21905 counting only the distinct ones).

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

The square root of 1331213100 is about 36485.7931255441. The cubic root of 1331213100 is about 1100.0587021014.

Adding to 1331213100 its reverse (13121331), we get a palindrome (1344334431).

The spelling of 1331213100 in words is "one billion, three hundred thirty-one million, two hundred thirteen thousand, one hundred".