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10231012013 is a prime number
BaseRepresentation
bin10011000011101000…
…01101101010101101
3222102000110021000212
421201310031222231
5131423114341023
64411114032205
7511351111235
oct114164155255
928360407025
1010231012013
114380159832
121b96418665
13c70812281
146d0ad8cc5
153ed2e0e78
hex261d0daad

10231012013 has 2 divisors, whose sum is σ = 10231012014. Its totient is φ = 10231012012.

The previous prime is 10231012009. The next prime is 10231012019. The reversal of 10231012013 is 31021013201.

10231012013 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., 10066710889 + 164301124 = 100333^2 + 12818^2 .

It is a cyclic number.

It is not a de Polignac number, because 10231012013 - 22 = 10231012009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10231012019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5115506006 + 5115506007.

It is an arithmetic number, because the mean of its divisors is an integer number (5115506007).

Almost surely, 210231012013 is an apocalyptic number.

It is an amenable number.

10231012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10231012013 is an equidigital number, since it uses as much as digits as its factorization.

10231012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10231012013 its reverse (31021013201), we get a palindrome (41252025214).

The spelling of 10231012013 in words is "ten billion, two hundred thirty-one million, twelve thousand, thirteen".