1331100100 has 72 divisors (see below), whose sum is σ = 3316975200. Its totient is φ = 458553600.

The previous prime is 1331100097. The next prime is 1331100139. The reversal of 1331100100 is 10011331.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 10945 + ... + 52744.

It is an arithmetic number, because the mean of its divisors is an integer number (46069100).

Almost surely, 2^1331100100 is an apocalyptic number.

1331100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331100100 is an abundant number, since it is smaller than the sum of its proper divisors (1985875100).

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

1331100100 is a wasteful number, since it uses less digits than its factorization.

1331100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63733 (or 63726 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1331100100 is about 36484.2445447346. The cubic root of 1331100100 is about 1100.0275750663.

Adding to 1331100100 its reverse (10011331), we get a palindrome (1341111431).

It can be divided in two parts, 13 and 31100100, that added together give a palindrome (31100113).

The spelling of 1331100100 in words is "one billion, three hundred thirty-one million, one hundred thousand, one hundred".