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10103113212013 is a prime number
BaseRepresentation
bin1001001100000101000001…
…1110010110000001101101
31022202211220022221011002201
42103001100132112001231
52311012133440241023
633253150043021501
72061632364235543
oct223012036260155
938684808834081
1010103113212013
113245785025408
12117207420a891
1358394793a843
1426cdc9825d93
15127c12635bad
hex9305079606d

10103113212013 has 2 divisors, whose sum is σ = 10103113212014. Its totient is φ = 10103113212012.

The previous prime is 10103113211959. The next prime is 10103113212139. The reversal of 10103113212013 is 31021231130101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7120988316324 + 2982124895689 = 2668518^2 + 1726883^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103113212013 - 217 = 10103113080941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103113216013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051556606006 + 5051556606007.

It is an arithmetic number, because the mean of its divisors is an integer number (5051556606007).

Almost surely, 210103113212013 is an apocalyptic number.

It is an amenable number.

10103113212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103113212013 is an equidigital number, since it uses as much as digits as its factorization.

10103113212013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10103113212013 its reverse (31021231130101), we get a palindrome (41124344342114).

The spelling of 10103113212013 in words is "ten trillion, one hundred three billion, one hundred thirteen million, two hundred twelve thousand, thirteen".