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13375437013 is a prime number
BaseRepresentation
bin11000111010011110…
…01111100011010101
31021112011020121020001
430131033033203111
5204343102441023
610051122011301
7652312224121
oct143517174325
937464217201
1013375437013
1157440a3884
1227134a6b31
1313520c2c93
1490c578581
155343b26ad
hex31d3cf8d5

13375437013 has 2 divisors, whose sum is σ = 13375437014. Its totient is φ = 13375437012.

The previous prime is 13375437007. The next prime is 13375437029. The reversal of 13375437013 is 31073457331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7055664004 + 6319773009 = 83998^2 + 79497^2 .

It is a cyclic number.

It is not a de Polignac number, because 13375437013 - 217 = 13375305941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13375437113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6687718506 + 6687718507.

It is an arithmetic number, because the mean of its divisors is an integer number (6687718507).

Almost surely, 213375437013 is an apocalyptic number.

It is an amenable number.

13375437013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13375437013 is an equidigital number, since it uses as much as digits as its factorization.

13375437013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 79380, while the sum is 37.

The spelling of 13375437013 in words is "thirteen billion, three hundred seventy-five million, four hundred thirty-seven thousand, thirteen".