3121003312001 has 16 divisors (see below), whose sum is σ = 3176140426368. Its totient is φ = 3066497481600.

The previous prime is 3121003311949. The next prime is 3121003312003. The reversal of 3121003312001 is 1002133001213.

It is a cyclic number.

It is not a de Polignac number, because 3121003312001 - 2²² = 3120999117697 is a prime.

It is a super-2 number, since 2×3121003312001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3121003312003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4933916 + ... + 5530418.

It is an arithmetic number, because the mean of its divisors is an integer number (198508776648).

Almost surely, 2^{3121003312001} is an apocalyptic number.

It is an amenable number.

3121003312001 is a deficient number, since it is larger than the sum of its proper divisors (55137114367).

3121003312001 is a wasteful number, since it uses less digits than its factorization.

3121003312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597032.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3121003312001 its reverse (1002133001213), we get a palindrome (4123136313214).

The spelling of 3121003312001 in words is "three trillion, one hundred twenty-one billion, three million, three hundred twelve thousand, one".