313133021001 has 24 divisors (see below), whose sum is σ = 461067516000. Its totient is φ = 204727197312.

The previous prime is 313133020999. The next prime is 313133021011. The reversal of 313133021001 is 100120331313.

It is a happy number.

313133021001 is a `hidden beast` number, since 313 + 1 + 330 + 21 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 313133021001 - 2¹ = 313133020999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313133021011) 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 23 ways as a sum of consecutive naturals, for example, 481216 + ... + 926193.

It is an arithmetic number, because the mean of its divisors is an integer number (19211146500).

Almost surely, 2^313133021001 is an apocalyptic number.

It is an amenable number.

313133021001 is a deficient number, since it is larger than the sum of its proper divisors (147934494999).

313133021001 is a wasteful number, since it uses less digits than its factorization.

313133021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407893 (or 1407890 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313133021001 its reverse (100120331313), we get a palindrome (413253352314).

The spelling of 313133021001 in words is "three hundred thirteen billion, one hundred thirty-three million, twenty-one thousand, one".