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2313313131253 is a prime number
BaseRepresentation
bin100001101010011100001…
…101010001101011110101
322012011001202210000111111
4201222130031101223311
5300400131130200003
64530415452435021
7326063025115225
oct41523415215365
98164052700444
102313313131253
11812085a556a3
12314403a78a71
1313a1b55ac627
147dd71b8c085
1540294342e6d
hex21a9c351af5

2313313131253 has 2 divisors, whose sum is σ = 2313313131254. Its totient is φ = 2313313131252.

The previous prime is 2313313131139. The next prime is 2313313131257. The reversal of 2313313131253 is 3521313133132.

It is a happy number.

2313313131253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2303467927524 + 9845203729 = 1517718^2 + 99223^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313313131253 - 29 = 2313313130741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2313313131257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156656565626 + 1156656565627.

It is an arithmetic number, because the mean of its divisors is an integer number (1156656565627).

Almost surely, 22313313131253 is an apocalyptic number.

It is an amenable number.

2313313131253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313313131253 is an equidigital number, since it uses as much as digits as its factorization.

2313313131253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14580, while the sum is 31.

Adding to 2313313131253 its reverse (3521313133132), we get a palindrome (5834626264385).

The spelling of 2313313131253 in words is "two trillion, three hundred thirteen billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred fifty-three".