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331001340013 is a prime number
BaseRepresentation
bin1001101000100010011…
…01111010000001101101
31011122101001102021101101
410310101031322001231
520410342320340023
6412020535243101
732625343653001
oct4642115720155
91148331367341
10331001340013
11118416699963
1254197819491
13252a07aca96
1412040566701
1589241811ad
hex4d1137a06d

331001340013 has 2 divisors, whose sum is σ = 331001340014. Its totient is φ = 331001340012.

The previous prime is 331001340001. The next prime is 331001340017. The reversal of 331001340013 is 310043100133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269217775044 + 61783564969 = 518862^2 + 248563^2 .

It is a cyclic number.

It is not a de Polignac number, because 331001340013 - 213 = 331001331821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331001340017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165500670006 + 165500670007.

It is an arithmetic number, because the mean of its divisors is an integer number (165500670007).

Almost surely, 2331001340013 is an apocalyptic number.

It is an amenable number.

331001340013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331001340013 is an equidigital number, since it uses as much as digits as its factorization.

331001340013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 331001340013 its reverse (310043100133), we get a palindrome (641044440146).

The spelling of 331001340013 in words is "three hundred thirty-one billion, one million, three hundred forty thousand, thirteen".