313121003001123 has 16 divisors (see below), whose sum is σ = 419370177658880. Its totient is φ = 207809596721664.

The previous prime is 313121003001077. The next prime is 313121003001181. The reversal of 313121003001123 is 321100300121313.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-313121003001123 is a prime.

It is a super-2 number, since 2×313121003001123² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313121003001123.

It is not an unprimeable number, because it can be changed into a prime (313121003001623) 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, 85421790 + ... + 89011932.

It is an arithmetic number, because the mean of its divisors is an integer number (26210636103680).

Almost surely, 2^{313121003001123} is an apocalyptic number.

313121003001123 is a deficient number, since it is larger than the sum of its proper divisors (106249174657757).

313121003001123 is a wasteful number, since it uses less digits than its factorization.

313121003001123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720738.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313121003001123 its reverse (321100300121313), we get a palindrome (634221303122436).

The spelling of 313121003001123 in words is "three hundred thirteen trillion, one hundred twenty-one billion, three million, one thousand, one hundred twenty-three".