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131403157133 is a prime number
BaseRepresentation
bin111101001100000111…
…1010000111010001101
3110120011201020000100112
41322120033100322031
54123103202012013
6140211001405405
712331202256323
oct1723017207215
9416151200315
10131403157133
1150800724926
1221572799865
13c5117ba321
14650799dd13
15364112dba8
hex1e983d0e8d

131403157133 has 2 divisors, whose sum is σ = 131403157134. Its totient is φ = 131403157132.

The previous prime is 131403157111. The next prime is 131403157157. The reversal of 131403157133 is 331751304131.

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., 105295707049 + 26107450084 = 324493^2 + 161578^2 .

It is a cyclic number.

It is not a de Polignac number, because 131403157133 - 28 = 131403156877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131403157133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131403357133) 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, 65701578566 + 65701578567.

It is an arithmetic number, because the mean of its divisors is an integer number (65701578567).

Almost surely, 2131403157133 is an apocalyptic number.

It is an amenable number.

131403157133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131403157133 is an equidigital number, since it uses as much as digits as its factorization.

131403157133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 131403157133 in words is "one hundred thirty-one billion, four hundred three million, one hundred fifty-seven thousand, one hundred thirty-three".