313022133101 has 16 divisors (see below), whose sum is σ = 334998964080. Its totient is φ = 291449733120.

The previous prime is 313022133031. The next prime is 313022133107. The reversal of 313022133101 is 101331220313.

It can be written as a sum of positive squares in 8 ways, for example, as 30896499076 + 282125634025 = 175774^2 + 531155^2 .

It is a cyclic number.

It is not a de Polignac number, because 313022133101 - 2³⁴ = 295842263917 is a prime.

It is a super-2 number, since 2×313022133101² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313022133107) 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 15 ways as a sum of consecutive naturals, for example, 1056005 + ... + 1319541.

It is an arithmetic number, because the mean of its divisors is an integer number (20937435255).

Almost surely, 2^313022133101 is an apocalyptic number.

It is an amenable number.

313022133101 is a deficient number, since it is larger than the sum of its proper divisors (21976830979).

313022133101 is a wasteful number, since it uses less digits than its factorization.

313022133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264304.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313022133101 its reverse (101331220313), we get a palindrome (414353353414).

The spelling of 313022133101 in words is "three hundred thirteen billion, twenty-two million, one hundred thirty-three thousand, one hundred one".