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101103031013 is a prime number
BaseRepresentation
bin101111000101000110…
…1011101001011100101
3100122222001012010100012
41132022031131023211
53124024333443023
6114240204500005
710206266404235
oct1361215351345
9318861163305
10101103031013
1139972030686
121771724a605
1396c31b1c0a
144c7174bcc5
15296aebd978
hex178a35d2e5

101103031013 has 2 divisors, whose sum is σ = 101103031014. Its totient is φ = 101103031012.

The previous prime is 101103030991. The next prime is 101103031039. The reversal of 101103031013 is 310130301101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91868397604 + 9234633409 = 303098^2 + 96097^2 .

It is a cyclic number.

It is not a de Polignac number, because 101103031013 - 216 = 101102965477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101103031213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551515506 + 50551515507.

It is an arithmetic number, because the mean of its divisors is an integer number (50551515507).

Almost surely, 2101103031013 is an apocalyptic number.

It is an amenable number.

101103031013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101103031013 is an equidigital number, since it uses as much as digits as its factorization.

101103031013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101103031013 its reverse (310130301101), we get a palindrome (411233332114).

The spelling of 101103031013 in words is "one hundred one billion, one hundred three million, thirty-one thousand, thirteen".