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131100313132037 is a prime number
BaseRepresentation
bin11101110011110000101011…
…100110000001110000000101
3122012012001211020021210220102
4131303300223212001300011
5114140421420130211122
61142454352531013445
736420453655051424
oct3563605346016005
9565161736253812
10131100313132037
113885536aa91a27
121285415173a285
13581c9251a8592
1424534090972bb
15102534779e492
hex773c2b981c05

131100313132037 has 2 divisors, whose sum is σ = 131100313132038. Its totient is φ = 131100313132036.

The previous prime is 131100313131947. The next prime is 131100313132043. The reversal of 131100313132037 is 730231313001131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98962684104001 + 32137629028036 = 9947999^2 + 5669006^2 .

It is a cyclic number.

It is not a de Polignac number, because 131100313132037 - 246 = 60731568954373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131100313132637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65550156566018 + 65550156566019.

It is an arithmetic number, because the mean of its divisors is an integer number (65550156566019).

Almost surely, 2131100313132037 is an apocalyptic number.

It is an amenable number.

131100313132037 is a deficient number, since it is larger than the sum of its proper divisors (1).

131100313132037 is an equidigital number, since it uses as much as digits as its factorization.

131100313132037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 29.

Adding to 131100313132037 its reverse (730231313001131), we get a palindrome (861331626133168).

The spelling of 131100313132037 in words is "one hundred thirty-one trillion, one hundred billion, three hundred thirteen million, one hundred thirty-two thousand, thirty-seven".