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2131303122101 is a prime number
BaseRepresentation
bin11111000000111011100…
…100001100010010110101
321112202021011211120001102
4133000323210030102311
5234404402044401401
64311035050335445
7306660451425146
oct37007344142265
97482234746042
102131303122101
1175197605a92a
122a508912a585
13125c9a3c7c6a
147522704dacd
153a69044b56b
hex1f03b90c4b5

2131303122101 has 2 divisors, whose sum is σ = 2131303122102. Its totient is φ = 2131303122100.

The previous prime is 2131303122073. The next prime is 2131303122121. The reversal of 2131303122101 is 1012213031312.

It is a happy number.

It is an a-pointer prime, because the next prime (2131303122121) can be obtained adding 2131303122101 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1189964631025 + 941338491076 = 1090855^2 + 970226^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131303122101 - 230 = 2130229380277 is a prime.

It is a super-2 number, since 2×21313031221012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131303122121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065651561050 + 1065651561051.

It is an arithmetic number, because the mean of its divisors is an integer number (1065651561051).

Almost surely, 22131303122101 is an apocalyptic number.

It is an amenable number.

2131303122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131303122101 is an equidigital number, since it uses as much as digits as its factorization.

2131303122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2131303122101 its reverse (1012213031312), we get a palindrome (3143516153413).

The spelling of 2131303122101 in words is "two trillion, one hundred thirty-one billion, three hundred three million, one hundred twenty-two thousand, one hundred one".