3123213102001 has 2 divisors, whose sum is σ = 3123213102002. Its totient is φ = 3123213102000.

The previous prime is 3123213101947. The next prime is 3123213102013. The reversal of 3123213102001 is 1002013123213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1638909479601 + 1484303622400 = 1280199^2 + 1218320^2 .

It is an emirp because it is prime and its reverse (1002013123213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3123213102001 - 2⁷ = 3123213101873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3123213102001.

It is not a weakly prime, because it can be changed into another prime (3123213102041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561606551000 + 1561606551001.

It is an arithmetic number, because the mean of its divisors is an integer number (1561606551001).

Almost surely, 2^{3123213102001} is an apocalyptic number.

It is an amenable number.

3123213102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123213102001 is an equidigital number, since it uses as much as digits as its factorization.

3123213102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 3123213102001 its reverse (1002013123213), we get a palindrome (4125226225214).

The spelling of 3123213102001 in words is "three trillion, one hundred twenty-three billion, two hundred thirteen million, one hundred two thousand, one".