3213132440100 has 144 divisors (see below), whose sum is σ = 10415917880256. Its totient is φ = 757888704000.

The previous prime is 3213132440099. The next prime is 3213132440207. The reversal of 3213132440100 is 10442313123.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13035691 + ... + 13279890.

Almost surely, 2^{3213132440100} is an apocalyptic number.

3213132440100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213132440100 is an abundant number, since it is smaller than the sum of its proper divisors (7202785440156).

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

3213132440100 is a wasteful number, since it uses less digits than its factorization.

3213132440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26315646 (or 26315639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3213132440100 its reverse (10442313123), we get a palindrome (3223574753223).

The spelling of 3213132440100 in words is "three trillion, two hundred thirteen billion, one hundred thirty-two million, four hundred forty thousand, one hundred".