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313312013022061 is a prime number
BaseRepresentation
bin100011100111101001010001…
…1001111010111001101101101
31112002100100001212222220010201
41013033102203033113031231
5312031301000313201221
63030205315102433501
7122665021521255064
oct10717224317271555
91462310055886121
10313312013022061
1190915973361819
122b181b73292891
13105a92719628c1
14575254d20b1db
152634e70148891
hex11cf4a33d736d

313312013022061 has 2 divisors, whose sum is σ = 313312013022062. Its totient is φ = 313312013022060.

The previous prime is 313312013021993. The next prime is 313312013022077. The reversal of 313312013022061 is 160220310213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208956594319561 + 104355418702500 = 14455331^2 + 10215450^2 .

It is a cyclic number.

It is not a de Polignac number, because 313312013022061 - 213 = 313312013013869 is a prime.

It is a super-2 number, since 2×3133120130220612 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313312013025061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656006511030 + 156656006511031.

It is an arithmetic number, because the mean of its divisors is an integer number (156656006511031).

Almost surely, 2313312013022061 is an apocalyptic number.

It is an amenable number.

313312013022061 is a deficient number, since it is larger than the sum of its proper divisors (1).

313312013022061 is an equidigital number, since it uses as much as digits as its factorization.

313312013022061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 313312013022061 its reverse (160220310213313), we get a palindrome (473532323235374).

The spelling of 313312013022061 in words is "three hundred thirteen trillion, three hundred twelve billion, thirteen million, twenty-two thousand, sixty-one".