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1310242013 is a prime number
BaseRepresentation
bin100111000011000…
…1011010011011101
310101022110012010222
41032012023103131
510140410221023
6334003011125
744316605363
oct11606132335
93338405128
101310242013
11612663243
12306969aa5
1317b5b2a42
14c6029633
157a064cc8
hex4e18b4dd

1310242013 has 2 divisors, whose sum is σ = 1310242014. Its totient is φ = 1310242012.

The previous prime is 1310242007. The next prime is 1310242019. The reversal of 1310242013 is 3102420131.

It is a balanced prime because it is at equal distance from previous prime (1310242007) and next prime (1310242019).

It can be written as a sum of positive squares in only one way, i.e., 1309498969 + 743044 = 36187^2 + 862^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1310242013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310241982 and 1310242000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310242019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655121006 + 655121007.

It is an arithmetic number, because the mean of its divisors is an integer number (655121007).

Almost surely, 21310242013 is an apocalyptic number.

It is an amenable number.

1310242013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310242013 is an equidigital number, since it uses as much as digits as its factorization.

1310242013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1310242013 is about 36197.2652696305. The cubic root of 1310242013 is about 1094.2515580788.

Adding to 1310242013 its reverse (3102420131), we get a palindrome (4412662144).

The spelling of 1310242013 in words is "one billion, three hundred ten million, two hundred forty-two thousand, thirteen".