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13131037 is a prime number
BaseRepresentation
bin110010000101…
…110100011101
3220201010101201
4302011310131
511330143122
61145235501
7216416623
oct62056435
926633351
1013131037
1174595a7
124492b91
132949a5a
141a5b513
151245a27
hexc85d1d

13131037 has 2 divisors, whose sum is σ = 13131038. Its totient is φ = 13131036.

The previous prime is 13131031. The next prime is 13131061. The reversal of 13131037 is 73013131.

It is a happy number.

13131037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7650756 + 5480281 = 2766^2 + 2341^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131037 - 215 = 13098269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565518 + 6565519.

It is an arithmetic number, because the mean of its divisors is an integer number (6565519).

Almost surely, 213131037 is an apocalyptic number.

It is an amenable number.

13131037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131037 is an equidigital number, since it uses as much as digits as its factorization.

13131037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 13131037 is about 3623.6772759174. The cubic root of 13131037 is about 235.9208594641.

Adding to 13131037 its reverse (73013131), we get a palindrome (86144168).

The spelling of 13131037 in words is "thirteen million, one hundred thirty-one thousand, thirty-seven".