3123663877321 has 45 divisors (see below), whose sum is σ = 3549988127541. Its totient is φ = 2747286018048.

The previous prime is 3123663877309. The next prime is 3123663877333. The reversal of 3123663877321 is 1237783663213.

It is a happy number.

The square root of 3123663877321 is 1767389.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3123663877309) and next prime (3123663877333).

It can be written as a sum of positive squares in 4 ways, for example, as 222160452921 + 2901503424400 = 471339^2 + 1703380^2 .

It is not a de Polignac number, because 3123663877321 - 2⁵ = 3123663877289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3123663877361) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 12154334025 + ... + 12154334281.

Almost surely, 2^{3123663877321} is an apocalyptic number.

3123663877321 is the 1767389-th square number.

3123663877321 is the 883695-th centered octagonal number.

It is an amenable number.

3123663877321 is a deficient number, since it is larger than the sum of its proper divisors (426324250220).

3123663877321 is an frugal number, since it uses more digits than its factorization.

3123663877321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 293 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 52.

The spelling of 3123663877321 in words is "three trillion, one hundred twenty-three billion, six hundred sixty-three million, eight hundred seventy-seven thousand, three hundred twenty-one".