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131029807037 is a prime number
BaseRepresentation
bin111101000000111111…
…1000010111110111101
3110112012200200212022012
41322001333002332331
54121322112311122
6140105543301005
712316016661143
oct1720177027675
9415180625265
10131029807037
1150629a01428
122148974a765
13c482349bcc
1464b0175593
15361d4817e2
hex1e81fc2fbd

131029807037 has 2 divisors, whose sum is σ = 131029807038. Its totient is φ = 131029807036.

The previous prime is 131029807031. The next prime is 131029807067. The reversal of 131029807037 is 730708920131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127919960281 + 3109846756 = 357659^2 + 55766^2 .

It is an emirp because it is prime and its reverse (730708920131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131029807037 - 212 = 131029802941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131029806985 and 131029807003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131029807031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65514903518 + 65514903519.

It is an arithmetic number, because the mean of its divisors is an integer number (65514903519).

Almost surely, 2131029807037 is an apocalyptic number.

It is an amenable number.

131029807037 is a deficient number, since it is larger than the sum of its proper divisors (1).

131029807037 is an equidigital number, since it uses as much as digits as its factorization.

131029807037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 131029807037 in words is "one hundred thirty-one billion, twenty-nine million, eight hundred seven thousand, thirty-seven".