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313133101 = 1655318917
BaseRepresentation
bin10010101010100…
…000100000101101
3210211012210212021
4102222200200231
51120130224401
651023310141
710521405331
oct2252404055
9724183767
10313133101
11150834596
1288a4b351
134cb48778
142d8317c1
151c7552a1
hex12aa082d

313133101 has 4 divisors (see below), whose sum is σ = 313168572. Its totient is φ = 313097632.

The previous prime is 313133087. The next prime is 313133111. The reversal of 313133101 is 101331313.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 101331313 = 195333227.

It can be written as a sum of positive squares in 2 ways, for example, as 280529001 + 32604100 = 16749^2 + 5710^2 .

It is a cyclic number.

It is not a de Polignac number, because 313133101 - 213 = 313124909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313133111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7095 + ... + 26011.

It is an arithmetic number, because the mean of its divisors is an integer number (78292143).

Almost surely, 2313133101 is an apocalyptic number.

It is an amenable number.

313133101 is a deficient number, since it is larger than the sum of its proper divisors (35471).

313133101 is a wasteful number, since it uses less digits than its factorization.

313133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35470.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 313133101 is about 17695.5672697995. The cubic root of 313133101 is about 679.0623618275.

Adding to 313133101 its reverse (101331313), we get a palindrome (414464414).

The spelling of 313133101 in words is "three hundred thirteen million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 16553 18917 313133101