313221113001 has 80 divisors (see below), whose sum is σ = 511892029440. Its totient is φ = 190009359360.

The previous prime is 313221112991. The next prime is 313221113011. The reversal of 313221113001 is 100311122313.

313221113001 is a `hidden beast` number, since 31 + 322 + 1 + 11 + 300 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (313221112991) and next prime (313221113011).

It is not a de Polignac number, because 313221113001 - 2⁵ = 313221112969 is a prime.

It is a super-2 number, since 2×313221113001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313221113011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54593805 + ... + 54599541.

It is an arithmetic number, because the mean of its divisors is an integer number (6398650368).

Almost surely, 2^313221113001 is an apocalyptic number.

313221113001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313221113001 is a deficient number, since it is larger than the sum of its proper divisors (198670916439).

313221113001 is a wasteful number, since it uses less digits than its factorization.

313221113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313221113001 its reverse (100311122313), we get a palindrome (413532235314).

The spelling of 313221113001 in words is "three hundred thirteen billion, two hundred twenty-one million, one hundred thirteen thousand, one".