3331132100 has 36 divisors (see below), whose sum is σ = 7265292804. Its totient is φ = 1325681280.

The previous prime is 3331132073. The next prime is 3331132171. The reversal of 3331132100 is 12311333.

It can be written as a sum of positive squares in 6 ways, for example, as 95570176 + 3235561924 = 9776^2 + 56882^2 .

It is a super-2 number, since 2×3331132100² = 22192882135300820000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64847 + ... + 104246.

It is an arithmetic number, because the mean of its divisors is an integer number (201813689).

Almost surely, 2^3331132100 is an apocalyptic number.

It is an amenable number.

3331132100 is an abundant number, since it is smaller than the sum of its proper divisors (3934160704).

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

3331132100 is a wasteful number, since it uses less digits than its factorization.

3331132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169304 (or 169297 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3331132100 is about 57715.9605308618. The cubic root of 3331132100 is about 1493.4726891945.

Adding to 3331132100 its reverse (12311333), we get a palindrome (3343443433).

The spelling of 3331132100 in words is "three billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred".