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13131000013237 is a prime number
BaseRepresentation
bin1011111100010100110010…
…0101110110000110110101
31201111022101222010201011121
42333011030211312012311
53210114242000410422
643532144221303541
72523453264343261
oct277051445660665
951438358121147
1013131000013237
11420290a201647
121580a61404bb1
1374332baa3152
143357882430a1
1517b87a1d08c7
hexbf14c9761b5

13131000013237 has 2 divisors, whose sum is σ = 13131000013238. Its totient is φ = 13131000013236.

The previous prime is 13131000013181. The next prime is 13131000013249. The reversal of 13131000013237 is 73231000013131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9971284014756 + 3159715998481 = 3157734^2 + 1777559^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131000013237 - 243 = 4334906991029 is a prime.

It is a super-2 number, since 2×131310000132372 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131000013267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565500006618 + 6565500006619.

It is an arithmetic number, because the mean of its divisors is an integer number (6565500006619).

Almost surely, 213131000013237 is an apocalyptic number.

It is an amenable number.

13131000013237 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131000013237 is an equidigital number, since it uses as much as digits as its factorization.

13131000013237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 13131000013237 its reverse (73231000013131), we get a palindrome (86362000026368).

The spelling of 13131000013237 in words is "thirteen trillion, one hundred thirty-one billion, thirteen thousand, two hundred thirty-seven".