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20131002613 is a prime number
BaseRepresentation
bin10010101111111001…
…101011100011110101
31220221222000220001101
4102233321223203311
5312212014040423
613125325130101
71311602461501
oct225771534365
956858026041
1020131002613
1185a0476247
123a999b9931
131b8a884887
14d8d867301
157cc4e67ad
hex4afe6b8f5

20131002613 has 2 divisors, whose sum is σ = 20131002614. Its totient is φ = 20131002612.

The previous prime is 20131002601. The next prime is 20131002641. The reversal of 20131002613 is 31620013102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13618189809 + 6512812804 = 116697^2 + 80702^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131002613 - 229 = 19594131701 is a prime.

It is a super-2 number, since 2×201310026132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20131002653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065501306 + 10065501307.

It is an arithmetic number, because the mean of its divisors is an integer number (10065501307).

Almost surely, 220131002613 is an apocalyptic number.

It is an amenable number.

20131002613 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131002613 is an equidigital number, since it uses as much as digits as its factorization.

20131002613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20131002613 its reverse (31620013102), we get a palindrome (51751015715).

The spelling of 20131002613 in words is "twenty billion, one hundred thirty-one million, two thousand, six hundred thirteen".