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3113132103001 is a prime number
BaseRepresentation
bin101101010011010101001…
…000100001010101011001
3102000121112112021120102001
4231103111020201111121
5402001143304244001
610342053025041001
7440626213160134
oct55232510412531
912017475246361
103113132103001
11aa02a9a05168
12423419786161
1319774abb509b
14aa96806d21b
1555ea67c7001
hex2d4d5221559

3113132103001 has 2 divisors, whose sum is σ = 3113132103002. Its totient is φ = 3113132103000.

The previous prime is 3113132102989. The next prime is 3113132103023. The reversal of 3113132103001 is 1003012313113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2580202902601 + 532929200400 = 1606301^2 + 730020^2 .

It is an emirp because it is prime and its reverse (1003012313113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3113132103001 - 221 = 3113130005849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3113132103001.

It is not a weakly prime, because it can be changed into another prime (3113132103061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556566051500 + 1556566051501.

It is an arithmetic number, because the mean of its divisors is an integer number (1556566051501).

Almost surely, 23113132103001 is an apocalyptic number.

It is an amenable number.

3113132103001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3113132103001 is an equidigital number, since it uses as much as digits as its factorization.

3113132103001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 3113132103001 its reverse (1003012313113), we get a palindrome (4116144416114).

The spelling of 3113132103001 in words is "three trillion, one hundred thirteen billion, one hundred thirty-two million, one hundred three thousand, one".