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131114420401 is a prime number
BaseRepresentation
bin111101000011100000…
…1110100100010110001
3110112102120220200000111
41322013001310202301
54122010242423101
6140122205021321
712321065120266
oct1720701644261
9415376820014
10131114420401
1150672743728
12214b1b54841
13c496a340a3
1464bb4bd26d
153625ae7251
hex1e870748b1

131114420401 has 2 divisors, whose sum is σ = 131114420402. Its totient is φ = 131114420400.

The previous prime is 131114420399. The next prime is 131114420407. The reversal of 131114420401 is 104024411131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105833102400 + 25281318001 = 325320^2 + 159001^2 .

It is a cyclic number.

It is not a de Polignac number, because 131114420401 - 21 = 131114420399 is a prime.

Together with 131114420399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131114420407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65557210200 + 65557210201.

It is an arithmetic number, because the mean of its divisors is an integer number (65557210201).

Almost surely, 2131114420401 is an apocalyptic number.

It is an amenable number.

131114420401 is a deficient number, since it is larger than the sum of its proper divisors (1).

131114420401 is an equidigital number, since it uses as much as digits as its factorization.

131114420401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 131114420401 its reverse (104024411131), we get a palindrome (235138831532).

The spelling of 131114420401 in words is "one hundred thirty-one billion, one hundred fourteen million, four hundred twenty thousand, four hundred one".